Atkin-Lehner |
2+ 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720r |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
3884653012500000000 = 28 · 33 · 511 · 135 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-539401,119228099] |
[a1,a2,a3,a4,a6] |
j |
67798454456008858624/15174425830078125 |
j-invariant |
L |
3.5070716573794 |
L(r)(E,1)/r! |
Ω |
0.23380478040367 |
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 |
48360p1 |
Quadratic twists by: -4 |