Atkin-Lehner |
3- 5- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
125925bf |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
679680 |
Modular degree for the optimal curve |
Δ |
-12739546951171875 = -1 · 36 · 59 · 23 · 733 |
Discriminant |
Eigenvalues |
1 3- 5- 2 3 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53951,7258673] |
[a1,a2,a3,a4,a6] |
j |
-8891613941813/6522648039 |
j-invariant |
L |
4.4103986457309 |
L(r)(E,1)/r! |
Ω |
0.36753330826532 |
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 |
125925p1 |
Quadratic twists by: 5 |