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	912c	Isogeny class
Conductor	912	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-15803136 = -1 · 28 · 32 · 193	Discriminant
Eigenvalues	2+ 3-  1  3  5 -2 -1 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,55,-93]	[a1,a2,a3,a4,a6]
j	70575104/61731	j-invariant
L	2.4284936753451	L(r)(E,1)/r!
Ω	1.2142468376726	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	456d1 3648ba1 2736f1 22800d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 912c1

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	5	-2	-1	+	-4	-6	10	0	0	11	-9	10	-4	-5	4	-8	13	-4	4	-6	2

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Quadratic twists for elliptic curve 912c1

-4	8	-3	5	-7	-11	-19
456d1	3648ba1	2736f1	22800d1	44688k1	110352p1	17328e1

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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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