Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575b |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1548859375 = 56 · 73 · 172 |
Discriminant |
Eigenvalues |
1 3 5+ 7+ 0 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-292,-259] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:553:27] |
Generators of the group modulo torsion |
j |
610929/343 |
j-invariant |
L |
12.570521810211 |
L(r)(E,1)/r! |
Ω |
1.2418591225 |
Real period |
R |
5.0611706200994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2023b1 50575u1 |
Quadratic twists by: 5 17 |