Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480k |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
2610000 = 24 · 32 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95,318] |
[a1,a2,a3,a4,a6] |
j |
5988775936/163125 |
j-invariant |
L |
2.5551526741194 |
L(r)(E,1)/r! |
Ω |
2.5551526741194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6960i1 27840a1 10440p1 17400ba1 |
Quadratic twists by: -4 8 -3 5 |