Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bh |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2472960 |
Modular degree for the optimal curve |
Δ |
-8.038538839994E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,696597,-368781743] |
[a1,a2,a3,a4,a6] |
Generators |
[175098968:2332494549:389017] |
Generators of the group modulo torsion |
j |
218902267299584/470715894135 |
j-invariant |
L |
7.9269237384311 |
L(r)(E,1)/r! |
Ω |
0.10011996666767 |
Real period |
R |
6.5978545563289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560r1 29040bo1 87120bl1 |
Quadratic twists by: -4 -3 -11 |