Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400v |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
37471206500000000 = 28 · 59 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83708,369088] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:2744:1] |
Generators of the group modulo torsion |
j |
1102736/637 |
j-invariant |
L |
2.7280708062379 |
L(r)(E,1)/r! |
Ω |
0.31007655942105 |
Real period |
R |
2.199513841027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000025417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127400cg1 18200i1 |
Quadratic twists by: 5 -7 |