Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12780a |
Isogeny class |
Conductor |
12780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-66251520 = -1 · 28 · 36 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 4 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-412] |
[a1,a2,a3,a4,a6] |
Generators |
[16:54:1] |
Generators of the group modulo torsion |
j |
-65536/355 |
j-invariant |
L |
5.0829787541284 |
L(r)(E,1)/r! |
Ω |
0.81548956932961 |
Real period |
R |
1.0388399282464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51120bj1 1420b1 63900h1 |
Quadratic twists by: -4 -3 5 |