Atkin-Lehner |
5+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30475a |
Isogeny class |
Conductor |
30475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78720 |
Modular degree for the optimal curve |
Δ |
724197900390625 = 511 · 234 · 53 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81855,-8899978] |
[a1,a2,a3,a4,a6] |
j |
3881810679964281/46348665625 |
j-invariant |
L |
0.56491377882448 |
L(r)(E,1)/r! |
Ω |
0.28245688941315 |
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 |
6095a1 |
Quadratic twists by: 5 |