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	37942580187200 = 26 · 52 · 136 · 173	Discriminant
Eigenvalues	2+ -2 5-  2  0 13- 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-8418,-23692]	[a1,a2,a3,a4,a6]
Generators	[-76:460:1]	Generators of the group modulo torsion
j	65959341605440921/37942580187200	j-invariant
L	1.8666977131596	L(r)(E,1)/r!
Ω	0.54212053045772	Real period
R	0.57388766528344	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	17680l3 70720b3 19890z3 11050l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2210b3

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 2210b3

-4	8	-3	5	-7	13	17
17680l3	70720b3	19890z3	11050l3	108290h3	28730u3	37570a3

---

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