Cremona's table of elliptic curves

316 = 2² · 79

Field	Data	Notes
Atkin-Lehner	2- 79+	Signs for the Atkin-Lehner involutions
Class	316a	Isogeny class
Conductor	316	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	36	Modular degree for the optimal curve
Δ	20224 = 28 · 79	Discriminant
Eigenvalues	2- -1  1  3  2 -1  4  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-180,-872]	[a1,a2,a3,a4,a6]
j	2533446736/79	j-invariant
L	1.302810843619	L(r)(E,1)/r!
Ω	1.302810843619	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	1264f1 5056c1 2844a1 7900a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 316a1

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

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Quadratic twists for elliptic curve 316a1

-4	8	-3	5	-7	-11	13	17	-19	-79
1264f1	5056c1	2844a1	7900a1	15484a1	38236f1	53404c1	91324d1	114076h1	24964b1

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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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