Cremona's table of elliptic curves

2618 = 2 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 7- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	2618c	Isogeny class
Conductor	2618	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	5846438805256620032 = 211 · 710 · 112 · 174	Discriminant
Eigenvalues	2+  2  0 7- 11+ -4 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1220450,-506254732]	[a1,a2,a3,a4,a6]
Generators	[1321:13084:1]	Generators of the group modulo torsion
j	201040818306017728515625/5846438805256620032	j-invariant
L	3.2841063365578	L(r)(E,1)/r!
Ω	0.14389365303155	Real period
R	1.1411574685083	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20944h2 83776r2 23562bi2 65450v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2618c2

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	0	-	+	-4	-	-2	-8	-2	0	-2	10	-8	0	-10	-6	4	-12	16	6	8	-2	10	-18

---

Quadratic twists for elliptic curve 2618c2

-4	8	-3	5	-7	-11	17
20944h2	83776r2	23562bi2	65450v2	18326h2	28798r2	44506d2

---

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