Atkin-Lehner |
2- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530k |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-188637729231250 = -1 · 2 · 55 · 138 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -1 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12538,-850469] |
[a1,a2,a3,a4,a6] |
j |
-45156047481/39081250 |
j-invariant |
L |
0.43536949659764 |
L(r)(E,1)/r! |
Ω |
0.21768474702574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4810c1 |
Quadratic twists by: 13 |