Cremona's table of elliptic curves

616 = 2³ · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	616a	Isogeny class
Conductor	616	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	2650396672 = 211 · 76 · 11	Discriminant
Eigenvalues	2+  0  0 7+ 11+ -6  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-355,702]	[a1,a2,a3,a4,a6]
Generators	[18:12:1]	Generators of the group modulo torsion
j	2415899250/1294139	j-invariant
L	2.015785269882	L(r)(E,1)/r!
Ω	1.2592832385463	Real period
R	3.2014803471996	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1232e2 4928g2 5544p2 15400q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 616a2

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
+	0	0	+	+	-6	0	-2	4	-2	2	2	-8	0	-2	-10	-4	10	4	0	-8	8	-2	-6	2

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Quadratic twists for elliptic curve 616a2

-4	8	-3	5	-7	-11	13
1232e2	4928g2	5544p2	15400q2	4312b2	6776i2	104104y2

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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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