Atkin-Lehner |
3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715u |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
58931712 |
Modular degree for the optimal curve |
Δ |
-1.7354646377337E+27 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 -3 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-854380911,9818716324295] |
[a1,a2,a3,a4,a6] |
j |
-2857490492517809570676736/71898899086885552875 |
j-invariant |
L |
2.7305384978001 |
L(r)(E,1)/r! |
Ω |
0.04707824589613 |
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 |
7395e1 |
Quadratic twists by: 17 |