Cremona's table of elliptic curves

33936 = 2⁴ · 3 · 7 · 101

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 101-	Signs for the Atkin-Lehner involutions
Class	33936f	Isogeny class
Conductor	33936	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	34944	Modular degree for the optimal curve
Δ	-88665808896 = -1 · 213 · 37 · 72 · 101	Discriminant
Eigenvalues	2- 3- -3 7+ -6 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,448,14004]	[a1,a2,a3,a4,a6]
Generators	[-17:42:1] [-14:72:1]	Generators of the group modulo torsion
j	2422300607/21646926	j-invariant
L	8.161902643841	L(r)(E,1)/r!
Ω	0.78717719480664	Real period
R	0.18515305379618	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4242b1 101808t1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 33936f1

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
-	-	-3	+	-6	-2	0	-2	-2	-6	3	-2	5	-2	2	0	-12	-5	-13	14	0	-17	-8	-7	-15

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Quadratic twists for elliptic curve 33936f1

-4	-3
4242b1	101808t1

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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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