Atkin-Lehner |
2- 3+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010bb |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-26157306240000 = -1 · 210 · 33 · 54 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3338,-256183] |
[a1,a2,a3,a4,a6] |
j |
-152298969481827/968789120000 |
j-invariant |
L |
5.6018633541781 |
L(r)(E,1)/r! |
Ω |
0.2800931682653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010f1 |
Quadratic twists by: -3 |