Atkin-Lehner |
2+ 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550d |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-8601812172800 = -1 · 215 · 52 · 73 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11+ -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53020,4679120] |
[a1,a2,a3,a4,a6] |
j |
-659349486423714865/344072486912 |
j-invariant |
L |
0.72435681464787 |
L(r)(E,1)/r! |
Ω |
0.72435683774085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88550by1 |
Quadratic twists by: 5 |