Cremona's table of elliptic curves

2310 = 2 · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	2310l	Isogeny class
Conductor	2310	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	129177711985836360 = 23 · 3 · 5 · 73 · 1112	Discriminant
Eigenvalues	2+ 3- 5- 7- 11+  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-256428,46871746]	[a1,a2,a3,a4,a6]
j	1864737106103260904761/129177711985836360	j-invariant
L	1.9378258174155	L(r)(E,1)/r!
Ω	0.32297096956924	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480cc7 73920q8 6930ba7 11550bl7	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310l7

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

---

Quadratic twists for elliptic curve 2310l7

-4	8	-3	5	-7	-11
18480cc7	73920q8	6930ba7	11550bl7	16170e7	25410cu8

---

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