Atkin-Lehner |
3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715w |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
115560 |
Modular degree for the optimal curve |
Δ |
-254572875 = -1 · 35 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 1 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-776,-8620] |
[a1,a2,a3,a4,a6] |
j |
-179048452096/880875 |
j-invariant |
L |
2.2604740734102 |
L(r)(E,1)/r! |
Ω |
0.45209499645031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715s1 |
Quadratic twists by: 17 |