Atkin-Lehner |
2- 3- 5+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26970j |
Isogeny class |
Conductor |
26970 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
59840 |
Modular degree for the optimal curve |
Δ |
-4076931916800 = -1 · 210 · 311 · 52 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 1 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6691,231425] |
[a1,a2,a3,a4,a6] |
Generators |
[38:161:1] |
Generators of the group modulo torsion |
j |
-33128430296069809/4076931916800 |
j-invariant |
L |
9.1898744677123 |
L(r)(E,1)/r! |
Ω |
0.75827866465595 |
Real period |
R |
0.055088133978256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80910i1 |
Quadratic twists by: -3 |