Atkin-Lehner |
2+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
30550f |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-55842467200 = -1 · 27 · 52 · 135 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-109815,-14052715] |
[a1,a2,a3,a4,a6] |
j |
-5858344145612254945/2233698688 |
j-invariant |
L |
2.6226093990302 |
L(r)(E,1)/r! |
Ω |
0.13113046995154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550x1 |
Quadratic twists by: 5 |