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	1452a	Isogeny class
Conductor	1452	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1584	Modular degree for the optimal curve
Δ	-493882861824 = -1 · 28 · 32 · 118	Discriminant
Eigenvalues	2- 3+ -1  2 11- -3 -7  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,444,-33768]	[a1,a2,a3,a4,a6]
Generators	[81:726:1]	Generators of the group modulo torsion
j	176/9	j-invariant
L	2.3636415898485	L(r)(E,1)/r!
Ω	0.44574392124359	Real period
R	0.88378157547431	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	5808bb1 23232br1 4356d1 36300bp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1452a1

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 1452a1

-4	8	-3	5	-7	-11
5808bb1	23232br1	4356d1	36300bp1	71148cd1	1452b1

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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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