Cremona's table of elliptic curves

5236 = 2² · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 7- 11+ 17+	Signs for the Atkin-Lehner involutions
Class	5236c	Isogeny class
Conductor	5236	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	1008	Modular degree for the optimal curve
Δ	-16420096 = -1 · 28 · 73 · 11 · 17	Discriminant
Eigenvalues	2- -2 -3 7- 11+ -1 17+  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,28,196]	[a1,a2,a3,a4,a6]
Generators	[-4:6:1]	Generators of the group modulo torsion
j	9148592/64141	j-invariant
L	2.0180133836613	L(r)(E,1)/r!
Ω	1.5994610301959	Real period
R	1.2616833705627	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	20944g1 83776p1 47124w1 36652j1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5236c1

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	-	+	-1	+	2	-3	3	-4	2	6	5	0	3	-15	8	8	3	-4	14	0	-6	-10

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Quadratic twists for elliptic curve 5236c1

-4	8	-3	-7	-11	17
20944g1	83776p1	47124w1	36652j1	57596g1	89012m1

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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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