Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bs |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
276 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
-1.7229378515076E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1934992,-1706677887] |
[a1,a2,a3,a4,a6] |
Generators |
[3472:216513:1] |
Generators of the group modulo torsion |
j |
218902267299584/470715894135 |
j-invariant |
L |
8.9091308267402 |
L(r)(E,1)/r! |
Ω |
0.077552592705347 |
Real period |
R |
0.41622669711882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bi1 72600ef1 |
Quadratic twists by: 5 -11 |