Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360du |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
147184128000 = 212 · 35 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283465,57995063] |
[a1,a2,a3,a4,a6] |
Generators |
[311:-120:1] |
Generators of the group modulo torsion |
j |
614983729942899136/35933625 |
j-invariant |
L |
8.5622280591584 |
L(r)(E,1)/r! |
Ω |
0.77594108869578 |
Real period |
R |
0.36782122493131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bc1 43680bh1 |
Quadratic twists by: -4 8 |