Cremona's table of elliptic curves

385 = 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	385a	Isogeny class
Conductor	385	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	10316796875 = 58 · 74 · 11	Discriminant
Eigenvalues	-1  0 5- 7+ 11- -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-697,5294]	[a1,a2,a3,a4,a6]
Generators	[2:61:1]	Generators of the group modulo torsion
j	37397086385121/10316796875	j-invariant
L	1.255102798703	L(r)(E,1)/r!
Ω	1.19873978068	Real period
R	0.26175463994177	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	6160n4 24640a3 3465f4 1925e3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 385a3

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	0	-	+	-	-6	6	-4	-8	-10	-4	6	-10	4	-4	6	0	-6	4	0	6	-8	12	10	10

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Quadratic twists for elliptic curve 385a3

-4	8	-3	5	-7	-11	13	17
6160n4	24640a3	3465f4	1925e3	2695c4	4235g4	65065h3	111265e3

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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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