Atkin-Lehner |
3- 7+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58149c |
Isogeny class |
Conductor |
58149 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-36113799357909 = -1 · 38 · 7 · 133 · 713 |
Discriminant |
Eigenvalues |
1 3- -1 7+ 2 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1980,-287631] |
[a1,a2,a3,a4,a6] |
j |
1177249106879/49538819421 |
j-invariant |
L |
1.2503736514415 |
L(r)(E,1)/r! |
Ω |
0.31259341311798 |
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 |
19383b1 |
Quadratic twists by: -3 |