Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fp |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-1.2609370440141E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8103615,-170617823775] |
[a1,a2,a3,a4,a6] |
Generators |
[310077365:-77951139840:4913] |
Generators of the group modulo torsion |
j |
224501959288069776431/48100930939256832000 |
j-invariant |
L |
7.2436660808528 |
L(r)(E,1)/r! |
Ω |
0.033484314058235 |
Real period |
R |
7.211004404969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360df1 21840bx1 |
Quadratic twists by: -4 8 |