Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42924c |
Isogeny class |
Conductor |
42924 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48729600 |
Modular degree for the optimal curve |
Δ |
-5.3022486034078E+20 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 6 -3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9810131060,373993561008936] |
[a1,a2,a3,a4,a6] |
j |
-3466729332466825523374801744/17604831836277 |
j-invariant |
L |
0.47679363890743 |
L(r)(E,1)/r! |
Ω |
0.079465606481796 |
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 |
128772n1 6132f1 |
Quadratic twists by: -3 -7 |