Atkin-Lehner |
3- 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
59085f |
Isogeny class |
Conductor |
59085 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-6102601610625 = -1 · 36 · 54 · 13 · 1013 |
Discriminant |
Eigenvalues |
1 3- 5- 2 4 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3546,-87615] |
[a1,a2,a3,a4,a6] |
j |
6763063792031/8371195625 |
j-invariant |
L |
4.854851002307 |
L(r)(E,1)/r! |
Ω |
0.40457091708795 |
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 |
6565b1 |
Quadratic twists by: -3 |