Cremona's table of elliptic curves

2210 = 2 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 13- 17-	Signs for the Atkin-Lehner involutions
Class	2210g	Isogeny class
Conductor	2210	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	-88219056250000 = -1 · 24 · 58 · 132 · 174	Discriminant
Eigenvalues	2-  0 5- -4  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,10658,-160259]	[a1,a2,a3,a4,a6]
Generators	[19:211:1]	Generators of the group modulo torsion
j	133902615693854799/88219056250000	j-invariant
L	4.1997795250361	L(r)(E,1)/r!
Ω	0.34457349032438	Real period
R	0.76177137152267	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	17680o4 70720f3 19890h4 11050a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2210g4

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

---

Quadratic twists for elliptic curve 2210g4

-4	8	-3	5	-7	13	17
17680o4	70720f3	19890h4	11050a4	108290z3	28730g3	37570k3

---

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