Cremona's table of elliptic curves

4532 = 2² · 11 · 103

Field	Data	Notes
Atkin-Lehner	2- 11+ 103-	Signs for the Atkin-Lehner involutions
Class	4532b	Isogeny class
Conductor	4532	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	7728	Modular degree for the optimal curve
Δ	-52925285667584 = -1 · 28 · 117 · 1032	Discriminant
Eigenvalues	2- -1  3  0 11+  0  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,8931,-133319]	[a1,a2,a3,a4,a6]
Generators	[1380:16789:64]	Generators of the group modulo torsion
j	307705590161408/206739397139	j-invariant
L	3.6403189092995	L(r)(E,1)/r!
Ω	0.35836920437016	Real period
R	5.0790063221216	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18128d1 72512k1 40788d1 113300b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4532b1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-1	3	0	+	0	0	-2	1	-10	3	5	-4	-4	0	-2	15	-12	1	-3	-4	-12	-6	-3	-7

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Quadratic twists for elliptic curve 4532b1

-4	8	-3	5	-11
18128d1	72512k1	40788d1	113300b1	49852b1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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