Cremona's table of elliptic curves

912 = 2⁴ · 3 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 19-	Signs for the Atkin-Lehner involutions
Class	912j	Isogeny class
Conductor	912	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	72	Modular degree for the optimal curve
Δ	-155952 = -1 · 24 · 33 · 192	Discriminant
Eigenvalues	2- 3-  2  0 -2  2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,3,-18]	[a1,a2,a3,a4,a6]
j	131072/9747	j-invariant
L	2.3160130825435	L(r)(E,1)/r!
Ω	1.5440087216957	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	228a1 3648u1 2736u1 22800by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 912j1

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
-	-	2	0	-2	2	6	-	-2	4	8	-2	-8	8	-2	-4	0	2	-12	4	6	16	-6	0	-2

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Quadratic twists for elliptic curve 912j1

-4	8	-3	5	-7	-11	-19
228a1	3648u1	2736u1	22800by1	44688cc1	110352bw1	17328u1

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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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