Atkin-Lehner |
5- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92365j |
Isogeny class |
Conductor |
92365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-11871326000117675 = -1 · 52 · 713 · 132 · 29 |
Discriminant |
Eigenvalues |
0 1 5- 7- 0 13- 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-99535,-13207869] |
[a1,a2,a3,a4,a6] |
j |
-926973454680064/100904606075 |
j-invariant |
L |
1.0685778129173 |
L(r)(E,1)/r! |
Ω |
0.13357222449768 |
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 |
13195c1 |
Quadratic twists by: -7 |