Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360i |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5079705845760 = 220 · 32 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131521,18402241] |
[a1,a2,a3,a4,a6] |
Generators |
[25805:9984:125] [88:2739:1] |
Generators of the group modulo torsion |
j |
959781554388721/19377540 |
j-invariant |
L |
8.5443223139542 |
L(r)(E,1)/r! |
Ω |
0.70694883206177 |
Real period |
R |
1.0071830197971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gh1 2730bb1 |
Quadratic twists by: -4 8 |