Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
87204i |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-4303814591232 = -1 · 28 · 34 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1803,-95967] |
[a1,a2,a3,a4,a6] |
Generators |
[5496:407421:1] |
Generators of the group modulo torsion |
j |
524288/3483 |
j-invariant |
L |
5.8325847948245 |
L(r)(E,1)/r! |
Ω |
0.38790554354674 |
Real period |
R |
7.5180477496878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
516b1 |
Quadratic twists by: 13 |