Cremona's table of elliptic curves

6435 = 3² · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3- 5+ 11- 13-	Signs for the Atkin-Lehner involutions
Class	6435j	Isogeny class
Conductor	6435	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	3354147225 = 38 · 52 · 112 · 132	Discriminant
Eigenvalues	1 3- 5+  4 11- 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-450,2511]	[a1,a2,a3,a4,a6]
j	13841287201/4601025	j-invariant
L	2.6020367429241	L(r)(E,1)/r!
Ω	1.301018371462	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	102960dn2 2145g2 32175q2 70785o2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6435j2

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

---

Quadratic twists for elliptic curve 6435j2

-4	-3	5	-11	13
102960dn2	2145g2	32175q2	70785o2	83655w2

---

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