Cremona's table of elliptic curves

6360 = 2³ · 3 · 5 · 53

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 53+	Signs for the Atkin-Lehner involutions
Class	6360a	Isogeny class
Conductor	6360	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-238500000000000 = -1 · 211 · 32 · 512 · 53	Discriminant
Eigenvalues	2+ 3+ 5+ -4  4  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,15144,-198900]	[a1,a2,a3,a4,a6]
Generators	[7847:136774:343]	Generators of the group modulo torsion
j	187536965595982/116455078125	j-invariant
L	2.8133881741713	L(r)(E,1)/r!
Ω	0.32101718500498	Real period
R	8.7639799536827	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	12720j4 50880bv3 19080o4 31800y3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6360a4

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

---

Quadratic twists for elliptic curve 6360a4

-4	8	-3	5
12720j4	50880bv3	19080o4	31800y3

---

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