Atkin-Lehner |
3- 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025y |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-1658518688671875 = -1 · 32 · 58 · 23 · 295 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -3 2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17833,2157244] |
[a1,a2,a3,a4,a6] |
Generators |
[34:1261:1] |
Generators of the group modulo torsion |
j |
-1605688360960/4245807843 |
j-invariant |
L |
5.0933134631522 |
L(r)(E,1)/r! |
Ω |
0.41800000209286 |
Real period |
R |
1.2184960377199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50025d1 |
Quadratic twists by: 5 |