Atkin-Lehner |
2- 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116560r |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-9.3964287868928E+19 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 -2 5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,832757,363254458] |
[a1,a2,a3,a4,a6] |
j |
15592603665638756511/22940499968000000 |
j-invariant |
L |
1.5480213392161 |
L(r)(E,1)/r! |
Ω |
0.12900179270004 |
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 |
14570h1 |
Quadratic twists by: -4 |