Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360en |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
49134059520 = 214 · 3 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1041,7665] |
[a1,a2,a3,a4,a6] |
Generators |
[29:32:1] |
Generators of the group modulo torsion |
j |
7622072656/2998905 |
j-invariant |
L |
4.5579821968711 |
L(r)(E,1)/r! |
Ω |
1.0267533504318 |
Real period |
R |
2.2196091213521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bv1 21840v1 |
Quadratic twists by: -4 8 |