Atkin-Lehner |
2+ 3+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150b |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1280812176000000 = -1 · 210 · 39 · 56 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-213650,37960500] |
[a1,a2,a3,a4,a6] |
Generators |
[276:198:1] |
Generators of the group modulo torsion |
j |
-69026452436759329/81971979264 |
j-invariant |
L |
3.9559713263734 |
L(r)(E,1)/r! |
Ω |
0.48219264829409 |
Real period |
R |
2.0510325769903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3486q1 |
Quadratic twists by: 5 |