Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120bu |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-202909784113152000 = -1 · 218 · 33 · 53 · 475 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 6 -3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7681,-21671519] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/774039398625 |
j-invariant |
L |
2.5915760882711 |
L(r)(E,1)/r! |
Ω |
0.14397644934919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120bc1 11280z1 |
Quadratic twists by: -4 8 |