Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280cb |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-4488744960 = -1 · 212 · 32 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,-3276] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1950:1] |
Generators of the group modulo torsion |
j |
-24137569/1095885 |
j-invariant |
L |
9.339044332415 |
L(r)(E,1)/r! |
Ω |
0.60326444587643 |
Real period |
R |
3.8702116278987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7455b1 |
Quadratic twists by: -4 |