Atkin-Lehner |
3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715v |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-480859875 = -1 · 33 · 53 · 173 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-436,-3809] |
[a1,a2,a3,a4,a6] |
j |
-1869959168/97875 |
j-invariant |
L |
3.1242472770295 |
L(r)(E,1)/r! |
Ω |
0.52070787510497 |
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 |
125715q1 |
Quadratic twists by: 17 |