Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520n |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
2173896069248000 = 210 · 53 · 198 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51021,-3843821] |
[a1,a2,a3,a4,a6] |
j |
304900096/45125 |
j-invariant |
L |
0.64161005516887 |
L(r)(E,1)/r! |
Ω |
0.3208047093652 |
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 |
115520ca1 14440j1 6080b1 |
Quadratic twists by: -4 8 -19 |