Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
50575x |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
319728828125 = 57 · 72 · 174 |
Discriminant |
Eigenvalues |
2 2 5+ 7- -3 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2408,-35657] |
[a1,a2,a3,a4,a6] |
Generators |
[-9976:29969:512] |
Generators of the group modulo torsion |
j |
1183744/245 |
j-invariant |
L |
17.221864911576 |
L(r)(E,1)/r! |
Ω |
0.69143816233503 |
Real period |
R |
6.2268275927175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115d1 50575f1 |
Quadratic twists by: 5 17 |