Cremona's table of elliptic curves

4368 = 2⁴ · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	4368a	Isogeny class
Conductor	4368	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	471832687872 = 28 · 310 · 74 · 13	Discriminant
Eigenvalues	2+ 3+  0 7+  2 13+ -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-166388,-26068080]	[a1,a2,a3,a4,a6]
Generators	[1458080:27386100:2197]	Generators of the group modulo torsion
j	1989996724085074000/1843096437	j-invariant
L	3.0944690089495	L(r)(E,1)/r!
Ω	0.23638442650001	Real period
R	6.545416410817	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2184f2 17472cr2 13104k2 109200bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368a2

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

---

Quadratic twists for elliptic curve 4368a2

-4	8	-3	5	-7	13
2184f2	17472cr2	13104k2	109200bz2	30576z2	56784d2

---

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