Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360em |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
76440000 = 26 · 3 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2556,-48894] |
[a1,a2,a3,a4,a6] |
Generators |
[71:350:1] |
Generators of the group modulo torsion |
j |
28866636755776/1194375 |
j-invariant |
L |
5.4287241845383 |
L(r)(E,1)/r! |
Ω |
0.671423074069 |
Real period |
R |
2.0213500228519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fw1 43680cl4 |
Quadratic twists by: -4 8 |