Cremona's table of elliptic curves

2108 = 2² · 17 · 31

Field	Data	Notes
Atkin-Lehner	2- 17+ 31-	Signs for the Atkin-Lehner involutions
Class	2108a	Isogeny class
Conductor	2108	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-2341810928 = -1 · 24 · 173 · 313	Discriminant
Eigenvalues	2-  1  0  2 -3 -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-118,2341]	[a1,a2,a3,a4,a6]
Generators	[-15:31:1]	Generators of the group modulo torsion
j	-11453152000/146363183	j-invariant
L	3.5082422238701	L(r)(E,1)/r!
Ω	1.2342404713727	Real period
R	0.94747668849557	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8432h2 33728d2 18972f2 52700e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2108a2

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
-	1	0	2	-3	-4	+	-4	9	-6	-	5	-12	-10	3	-6	-3	11	-7	0	14	8	6	0	-4

---

Quadratic twists for elliptic curve 2108a2

-4	8	-3	5	-7	17	-31
8432h2	33728d2	18972f2	52700e2	103292b2	35836b2	65348c2

---

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