Cremona's table of elliptic curves

6370 = 2 · 5 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	6370l	Isogeny class
Conductor	6370	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-8400432722500 = -1 · 22 · 54 · 76 · 134	Discriminant
Eigenvalues	2-  0 5+ 7-  0 13+ -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3268,157707]	[a1,a2,a3,a4,a6]
Generators	[37:275:1]	Generators of the group modulo torsion
j	-32798729601/71402500	j-invariant
L	5.428420266889	L(r)(E,1)/r!
Ω	0.65315704801648	Real period
R	2.0777622638285	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	50960s3 57330cd3 31850r3 130b4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6370l4

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	+	-	0	+	-2	8	-4	-2	4	6	-10	0	-8	6	-8	2	4	-12	-10	-8	-12	-10	14

---

Quadratic twists for elliptic curve 6370l4

-4	-3	5	-7	13
50960s3	57330cd3	31850r3	130b4	82810bb3

---

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