Atkin-Lehner |
2- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550w |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1171200 |
Modular degree for the optimal curve |
Δ |
9706346000000000 = 210 · 59 · 133 · 472 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12637138,17289989892] |
[a1,a2,a3,a4,a6] |
j |
114272008163742880781/4969649152 |
j-invariant |
L |
3.040539210079 |
L(r)(E,1)/r! |
Ω |
0.30405392100815 |
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 |
30550k1 |
Quadratic twists by: 5 |