Cremona's table of elliptic curves

836 = 2² · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 11- 19-	Signs for the Atkin-Lehner involutions
Class	836b	Isogeny class
Conductor	836	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	66	Modular degree for the optimal curve
Δ	-36784 = -1 · 24 · 112 · 19	Discriminant
Eigenvalues	2-  2  2  0 11-  4 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,3,-10]	[a1,a2,a3,a4,a6]
j	131072/2299	j-invariant
L	2.6732506226617	L(r)(E,1)/r!
Ω	1.7821670817745	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	3344f1 13376d1 7524e1 20900e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 836b1

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

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Quadratic twists for elliptic curve 836b1

-4	8	-3	5	-7	-11	-19
3344f1	13376d1	7524e1	20900e1	40964h1	9196e1	15884l1

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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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