Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520bj |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
135868504328000 = 26 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 5 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13718,260642] |
[a1,a2,a3,a4,a6] |
j |
262656/125 |
j-invariant |
L |
0.52001363716653 |
L(r)(E,1)/r! |
Ω |
0.52001375080467 |
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 |
115520bi1 57760l1 115520bu1 |
Quadratic twists by: -4 8 -19 |