Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840cb |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-175655688549120 = -1 · 28 · 37 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 1 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525252,146522324] |
[a1,a2,a3,a4,a6] |
j |
-17790954496/195 |
j-invariant |
L |
4.1386184632943 |
L(r)(E,1)/r! |
Ω |
0.5173273081969 |
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 |
121680bx1 20280e1 4680h1 |
Quadratic twists by: -4 -3 13 |