Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bp |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-6094910914560 = -1 · 224 · 35 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,824,-118156] |
[a1,a2,a3,a4,a6] |
j |
15087533111/1488015360 |
j-invariant |
L |
3.5853125986455 |
L(r)(E,1)/r! |
Ω |
0.35853126056219 |
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 |
8970a1 |
Quadratic twists by: -4 |