Cremona's table of elliptic curves

3108 = 2² · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 37-	Signs for the Atkin-Lehner involutions
Class	3108f	Isogeny class
Conductor	3108	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	13545253140048 = 24 · 34 · 710 · 37	Discriminant
Eigenvalues	2- 3-  4 7+  0  4 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6601,-108328]	[a1,a2,a3,a4,a6]
j	1988376942198784/846578321253	j-invariant
L	3.3019268809977	L(r)(E,1)/r!
Ω	0.55032114683296	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	12432bm1 49728h1 9324d1 77700f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3108f1

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
-	-	4	+	0	4	-4	-8	6	6	0	-	2	10	-8	14	4	-8	-4	12	2	-2	-4	4	-16

---

Quadratic twists for elliptic curve 3108f1

-4	8	-3	5	-7	37
12432bm1	49728h1	9324d1	77700f1	21756j1	114996i1

---

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