Cremona's table of elliptic curves

3696 = 2⁴ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	3696d	Isogeny class
Conductor	3696	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	6788295714816 = 211 · 316 · 7 · 11	Discriminant
Eigenvalues	2+ 3+  2 7- 11+  6  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5472,-90720]	[a1,a2,a3,a4,a6]
j	8849350367426/3314597517	j-invariant
L	2.2908467552793	L(r)(E,1)/r!
Ω	0.57271168881982	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1848k4 14784cr3 11088y4 92400bv3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3696d3

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	-	+	6	6	0	8	-2	-4	-2	-2	12	-12	6	-4	6	-4	0	-2	-8	0	-6	18

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Quadratic twists for elliptic curve 3696d3

-4	8	-3	5	-7	-11
1848k4	14784cr3	11088y4	92400bv3	25872q3	40656k3

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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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