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	385b	Isogeny class
Conductor	385	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	336875 = 54 · 72 · 11	Discriminant
Eigenvalues	-1 -2 5- 7- 11+  4 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-55,150]	[a1,a2,a3,a4,a6]
Generators	[-5:20:1]	Generators of the group modulo torsion
j	18420660721/336875	j-invariant
L	1.0141520787526	L(r)(E,1)/r!
Ω	3.0431080850734	Real period
R	0.16663096584165	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	6160l2 24640p2 3465j2 1925c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 385b2

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	-2	-	-	+	4	-4	-8	0	-6	-6	-6	0	-4	-6	10	-14	12	12	-12	-8	8	-16	-14	-2

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Quadratic twists for elliptic curve 385b2

-4	8	-3	5	-7	-11	13	17
6160l2	24640p2	3465j2	1925c2	2695b2	4235e2	65065e2	111265b2

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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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