Atkin-Lehner |
3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45825p |
Isogeny class |
Conductor |
45825 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-32720195625 = -1 · 3 · 54 · 135 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 1 5 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,799,-127] |
[a1,a2,a3,a4,a6] |
j |
90420134375/52352313 |
j-invariant |
L |
3.4764472827345 |
L(r)(E,1)/r! |
Ω |
0.69528945660824 |
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 |
45825e1 |
Quadratic twists by: 5 |