Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600ed |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
291796026761250000 = 24 · 32 · 57 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-167383,4337738] |
[a1,a2,a3,a4,a6] |
j |
1171019776/658845 |
j-invariant |
L |
4.2484899326153 |
L(r)(E,1)/r! |
Ω |
0.26553062231639 |
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 |
14520n1 6600q1 |
Quadratic twists by: 5 -11 |