Atkin-Lehner |
5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45325t |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-133311023125 = -1 · 54 · 78 · 37 |
Discriminant |
Eigenvalues |
1 2 5- 7- -2 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1200,-6775] |
[a1,a2,a3,a4,a6] |
j |
2595575/1813 |
j-invariant |
L |
3.5193270827975 |
L(r)(E,1)/r! |
Ω |
0.58655451382712 |
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 |
45325f1 6475f1 |
Quadratic twists by: 5 -7 |