Cremona's table of elliptic curves

20384 = 2⁵ · 7² · 13

Field	Data	Notes
Atkin-Lehner	2+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	20384c	Isogeny class
Conductor	20384	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	12042860350976 = 29 · 77 · 134	Discriminant
Eigenvalues	2+  0  2 7- -4 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6419,-106330]	[a1,a2,a3,a4,a6]
j	485587656/199927	j-invariant
L	1.1060943389603	L(r)(E,1)/r!
Ω	0.55304716948017	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20384w3 40768bf3 2912a3	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 20384c2

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	2	-	-4	+	-2	-4	-4	-2	0	2	2	4	8	-2	4	-14	12	8	-14	-12	-4	-14	2

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Quadratic twists for elliptic curve 20384c2

-4	8	-7
20384w3	40768bf3	2912a3

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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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