Atkin-Lehner |
3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225x |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
11806640625 = 3 · 510 · 13 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-838,7667] |
[a1,a2,a3,a4,a6] |
j |
4165509529/755625 |
j-invariant |
L |
1.2097838880323 |
L(r)(E,1)/r! |
Ω |
1.2097838880342 |
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 |
90675be1 6045b1 |
Quadratic twists by: -3 5 |