Cremona's table of elliptic curves

1452 = 2² · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Class	1452b	Isogeny class
Conductor	1452	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	144	Modular degree for the optimal curve
Δ	-278784 = -1 · 28 · 32 · 112	Discriminant
Eigenvalues	2- 3+ -1 -2 11-  3  7 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,4,24]	[a1,a2,a3,a4,a6]
Generators	[2:6:1]	Generators of the group modulo torsion
j	176/9	j-invariant
L	2.2264157516738	L(r)(E,1)/r!
Ω	2.3468744944922	Real period
R	0.15811211584449	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	5808ba1 23232bt1 4356e1 36300bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1452b1

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	-2	-	3	7	-4	-2	-3	0	9	-9	2	-12	-13	-6	2	-14	-6	-6	16	8	1	7

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Quadratic twists for elliptic curve 1452b1

-4	8	-3	5	-7	-11
5808ba1	23232bt1	4356e1	36300bl1	71148cf1	1452a1

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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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