Atkin-Lehner |
3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30225l |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5952 |
Modular degree for the optimal curve |
Δ |
17681625 = 33 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65,0] |
[a1,a2,a3,a4,a6] |
j |
248858189/141453 |
j-invariant |
L |
1.8781572517485 |
L(r)(E,1)/r! |
Ω |
1.8781572517519 |
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 |
90675bn1 30225bg1 |
Quadratic twists by: -3 5 |