Atkin-Lehner |
2+ 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904b |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1227520 |
Modular degree for the optimal curve |
Δ |
5024369227305633296 = 24 · 7 · 137 · 595 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ 1 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-429476,-10120813] |
[a1,a2,a3,a4,a6] |
j |
547547044900192662784/314023076706602081 |
j-invariant |
L |
1.0120526976039 |
L(r)(E,1)/r! |
Ω |
0.20241055004824 |
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 |
42952g1 |
Quadratic twists by: -4 |