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	2210b	Isogeny class
Conductor	2210	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1834472656250 = 2 · 512 · 13 · 172	Discriminant
Eigenvalues	2+ -2 5-  2  0 13- 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-5673,150506]	[a1,a2,a3,a4,a6]
Generators	[122:1069:1]	Generators of the group modulo torsion
j	20186080966364041/1834472656250	j-invariant
L	1.8666977131596	L(r)(E,1)/r!
Ω	0.81318079568658	Real period
R	3.4433259917006	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	17680l2 70720b2 19890z2 11050l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2210b2

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

---

Quadratic twists for elliptic curve 2210b2

-4	8	-3	5	-7	13	17
17680l2	70720b2	19890z2	11050l2	108290h2	28730u2	37570a2

---

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