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	3696r	Isogeny class
Conductor	3696	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	6.8405813917361E+20	Discriminant
Eigenvalues	2- 3+  0 7- 11-  6  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7235768,-7382758032]	[a1,a2,a3,a4,a6]
j	10228636028672744397625/167006381634183168	j-invariant
L	1.842842867079	L(r)(E,1)/r!
Ω	0.092142143353949	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	462d2 14784ci2 11088bp2 92400gu2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3696r2

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

---

Quadratic twists for elliptic curve 3696r2

-4	8	-3	5	-7	-11
462d2	14784ci2	11088bp2	92400gu2	25872cx2	40656bf2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations