Atkin-Lehner |
2- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58480c |
Isogeny class |
Conductor |
58480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5589120 |
Modular degree for the optimal curve |
Δ |
-1.4156164708714E+21 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 0 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1708157,-1593270398] |
[a1,a2,a3,a4,a6] |
j |
134569648880532339111/345609489958830080 |
j-invariant |
L |
0.62571593007774 |
L(r)(E,1)/r! |
Ω |
0.078214491392767 |
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 |
7310d1 |
Quadratic twists by: -4 |