Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cl |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2496000000 = -1 · 212 · 3 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281,2919] |
[a1,a2,a3,a4,a6] |
Generators |
[15:48:1] |
Generators of the group modulo torsion |
j |
-601211584/609375 |
j-invariant |
L |
5.4495450038127 |
L(r)(E,1)/r! |
Ω |
1.3170874499863 |
Real period |
R |
2.0687863223773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480bn1 6240h1 37440fa1 62400ez1 |
Quadratic twists by: -4 8 -3 5 |