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	912i	Isogeny class
Conductor	912	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-43776 = -1 · 28 · 32 · 19	Discriminant
Eigenvalues	2- 3- -3 -1  5 -6 -5 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,3,-9]	[a1,a2,a3,a4,a6]
Generators	[3:6:1]	Generators of the group modulo torsion
j	8192/171	j-invariant
L	2.4090814409154	L(r)(E,1)/r!
Ω	1.7505351623693	Real period
R	0.34404927885806	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	228b1 3648bb1 2736p1 22800bq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 912i1

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
-	-	-3	-1	5	-6	-5	+	-4	6	-6	-8	-8	-9	-1	2	8	11	0	4	-11	8	4	10	-10

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Quadratic twists for elliptic curve 912i1

-4	8	-3	5	-7	-11	-19
228b1	3648bb1	2736p1	22800bq1	44688cm1	110352co1	17328w1

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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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