Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
47175j |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-29613758523075 = -1 · 37 · 52 · 172 · 374 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 6 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2983,268234] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:499:1] |
Generators of the group modulo torsion |
j |
-117459742720000/1184550340923 |
j-invariant |
L |
6.0017368758957 |
L(r)(E,1)/r! |
Ω |
0.5646286102652 |
Real period |
R |
0.18981303964251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47175f1 |
Quadratic twists by: 5 |