Cremona's table of elliptic curves

832 = 2⁶ · 13

Field	Data	Notes
Atkin-Lehner	2+ 13-	Signs for the Atkin-Lehner involutions
Class	832d	Isogeny class
Conductor	832	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-2768896 = -1 · 214 · 132	Discriminant
Eigenvalues	2+  0 -2 -2  2 13-  6  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,4,-80]	[a1,a2,a3,a4,a6]
j	432/169	j-invariant
L	1.1956938204254	L(r)(E,1)/r!
Ω	1.1956938204254	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	832h2 52a1 7488bb2 20800c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 832d2

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	-2	2	-	6	6	8	-2	10	6	-6	-4	-2	-6	10	2	-10	10	2	-4	6	-6	2

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Quadratic twists for elliptic curve 832d2

-4	8	-3	5	-7	-11	13
832h2	52a1	7488bb2	20800c2	40768l2	100672e2	10816c2

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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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