Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360a |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
505344 |
Modular degree for the optimal curve |
Δ |
30478446927054080 = 28 · 5 · 478 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 3 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103823,9759362] |
[a1,a2,a3,a4,a6] |
j |
20304/5 |
j-invariant |
L |
2.0910760344042 |
L(r)(E,1)/r! |
Ω |
0.34851267167893 |
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 |
88360h1 |
Quadratic twists by: -47 |