Cremona's table of elliptic curves

33856 = 2⁶ · 23²

Field	Data	Notes
Atkin-Lehner	2- 23-	Signs for the Atkin-Lehner involutions
Class	33856bn	Isogeny class
Conductor	33856	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-8875147264 = -1 · 224 · 232	Discriminant
Eigenvalues	2- -2  3  2 -6  1 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7329,-244001]	[a1,a2,a3,a4,a6]
Generators	[23330:277389:125]	Generators of the group modulo torsion
j	-313994137/64	j-invariant
L	4.480934736965	L(r)(E,1)/r!
Ω	0.25798718280476	Real period
R	8.684413481805	Regulator
r	1	Rank of the group of rational points
S	0.99999999999997	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	33856l2 8464p2 33856bo2	Quadratic twists by: -4 8 -23

Hecke Eigenvalues for elliptic curve 33856bn2

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	3	2	-6	1	-6	-2	-	9	4	2	-9	4	-6	3	6	-1	-8	-6	11	8	0	9	1

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Quadratic twists for elliptic curve 33856bn2

-4	8	-23
33856l2	8464p2	33856bo2

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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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