Cremona's table of elliptic curves

2368 = 2⁶ · 37

Field	Data	Notes
Atkin-Lehner	2+ 37+	Signs for the Atkin-Lehner involutions
Class	2368c	Isogeny class
Conductor	2368	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	3241792 = 26 · 373	Discriminant
Eigenvalues	2+ -1  0 -1 -3  4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-93,-305]	[a1,a2,a3,a4,a6]
Generators	[-6:1:1]	Generators of the group modulo torsion
j	1404928000/50653	j-invariant
L	2.5734679690625	L(r)(E,1)/r!
Ω	1.5394019996211	Real period
R	1.6717322503776	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2368j2 37b1 21312k2 59200x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2368c2

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
+	-1	0	-1	-3	4	6	-2	6	6	-4	+	-9	-8	3	3	-12	-8	4	-15	11	-10	-9	6	8

---

Quadratic twists for elliptic curve 2368c2

-4	8	-3	5	-7	37
2368j2	37b1	21312k2	59200x2	116032a2	87616j2

---

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