Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360m |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
117760 |
Modular degree for the optimal curve |
Δ |
-271871128320000 = -1 · 211 · 3 · 54 · 11 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11384,644720] |
[a1,a2,a3,a4,a6] |
j |
79659994289902/132749574375 |
j-invariant |
L |
3.7629543670919 |
L(r)(E,1)/r! |
Ω |
0.37629543670858 |
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 |
60720d1 91080bx1 |
Quadratic twists by: -4 -3 |