Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400bc |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
37739520 |
Modular degree for the optimal curve |
Δ |
-2.4419055251514E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208617633,2645236239363] |
[a1,a2,a3,a4,a6] |
j |
-251024877317069793166336/610476381287841796875 |
j-invariant |
L |
3.8952679667857 |
L(r)(E,1)/r! |
Ω |
0.040575707961268 |
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 |
14280bn1 |
Quadratic twists by: 5 |