Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dg |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
49280400 = 24 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,1703] |
[a1,a2,a3,a4,a6] |
Generators |
[14:25:1] |
Generators of the group modulo torsion |
j |
1141504/25 |
j-invariant |
L |
6.8757227803288 |
L(r)(E,1)/r! |
Ω |
2.0051497210401 |
Real period |
R |
1.7145160796021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998587246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30420f1 13520z1 121680er1 |
Quadratic twists by: -4 -3 13 |