Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2610h |
Isogeny class |
Conductor |
2610 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-11905007616000 = -1 · 222 · 33 · 53 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4522,116581] |
[a1,a2,a3,a4,a6] |
Generators |
[1:347:1] |
Generators of the group modulo torsion |
j |
378827638483293/440926208000 |
j-invariant |
L |
4.2440284428646 |
L(r)(E,1)/r! |
Ω |
0.47662223880769 |
Real period |
R |
0.40474482317308 |
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 |
20880bi1 83520n1 2610b1 13050d1 |
Quadratic twists by: -4 8 -3 5 |