Atkin-Lehner |
3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715bn |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1823255663354425125 = -1 · 314 · 53 · 78 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,174186,-58674155] |
[a1,a2,a3,a4,a6] |
j |
6814692748079/21258460125 |
j-invariant |
L |
3.2427861913431 |
L(r)(E,1)/r! |
Ω |
0.13511609132294 |
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 |
16905h2 7245k2 |
Quadratic twists by: -3 -7 |