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	24	Product of Tamagawa factors cp
Δ	757333463040 = 212 · 34 · 5 · 73 · 113	Discriminant
Eigenvalues	2+ 3- 5- 7- 11+  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-47748,-4019582]	[a1,a2,a3,a4,a6]
j	12038605770121350841/757333463040	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	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480cc3 73920q3 6930ba3 11550bl3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310l3

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 2310l3

-4	8	-3	5	-7	-11
18480cc3	73920q3	6930ba3	11550bl3	16170e3	25410cu3

---

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