Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cw |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-13819531250 = -1 · 2 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -5 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,-5758] |
[a1,a2,a3,a4,a6] |
j |
-130321/2450 |
j-invariant |
L |
2.1615762877666 |
L(r)(E,1)/r! |
Ω |
0.54039430377221 |
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 |
25270h1 126350u1 |
Quadratic twists by: 5 -19 |