Atkin-Lehner |
2- 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920bi |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-97378070400000 = -1 · 210 · 36 · 55 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -4 13- 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9357,322558] |
[a1,a2,a3,a4,a6] |
j |
121368536636/130446875 |
j-invariant |
L |
2.3850967377766 |
L(r)(E,1)/r! |
Ω |
0.39751612395729 |
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 |
9880h1 |
Quadratic twists by: -3 |