Atkin-Lehner |
2+ 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550g |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-5755394326528000000 = -1 · 224 · 56 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-763450,281188500] |
[a1,a2,a3,a4,a6] |
j |
-3149534523783390625/368345236897792 |
j-invariant |
L |
0.93313605988166 |
L(r)(E,1)/r! |
Ω |
0.23328402319646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542o1 |
Quadratic twists by: 5 |