Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350cd |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
91224700 = 22 · 52 · 7 · 194 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,801] |
[a1,a2,a3,a4,a6] |
j |
225625/28 |
j-invariant |
L |
3.6796633411631 |
L(r)(E,1)/r! |
Ω |
1.8398312270347 |
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 |
126350bp1 126350o1 |
Quadratic twists by: 5 -19 |