Atkin-Lehner |
2- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25850l |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
936000 |
Modular degree for the optimal curve |
Δ |
7814610030515200 = 210 · 52 · 113 · 475 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24374153,46307056311] |
[a1,a2,a3,a4,a6] |
j |
64057841916514507279439545/312584401220608 |
j-invariant |
L |
1.6899679696408 |
L(r)(E,1)/r! |
Ω |
0.28166132827345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
25850f2 |
Quadratic twists by: 5 |