Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60543r |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1263571828275897 = 38 · 7 · 317 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30452,1129430] |
[a1,a2,a3,a4,a6] |
j |
4826809/1953 |
j-invariant |
L |
0.87881568262164 |
L(r)(E,1)/r! |
Ω |
0.43940783823804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20181n1 1953f1 |
Quadratic twists by: -3 -31 |