Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25270w |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-312855108650000 = -1 · 24 · 55 · 7 · 197 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 0 4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6927,-877721] |
[a1,a2,a3,a4,a6] |
j |
-781229961/6650000 |
j-invariant |
L |
9.1902544734958 |
L(r)(E,1)/r! |
Ω |
0.2297563618374 |
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 |
126350z1 1330f1 |
Quadratic twists by: 5 -19 |