Atkin-Lehner |
5+ 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475d |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
7506349853515625 = 512 · 7 · 192 · 233 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ -2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64151,-4667427] |
[a1,a2,a3,a4,a6] |
j |
1868547946835809/480406390625 |
j-invariant |
L |
0.61136585199922 |
L(r)(E,1)/r! |
Ω |
0.30568290364025 |
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 |
15295b1 |
Quadratic twists by: 5 |