Cremona's table of elliptic curves

2340 = 2² · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13-	Signs for the Atkin-Lehner involutions
Class	2340d	Isogeny class
Conductor	2340	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-1330570800 = -1 · 24 · 39 · 52 · 132	Discriminant
Eigenvalues	2- 3+ 5-  0  6 13- -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,108,1701]	[a1,a2,a3,a4,a6]
j	442368/4225	j-invariant
L	2.2381405042794	L(r)(E,1)/r!
Ω	1.1190702521397	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	9360bf1 37440b1 2340b1 11700a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2340d1

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

---

Quadratic twists for elliptic curve 2340d1

-4	8	-3	5	-7	13
9360bf1	37440b1	2340b1	11700a1	114660e1	30420a1

---

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