Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350df |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14400000 |
Modular degree for the optimal curve |
Δ |
-48883610726562500 = -1 · 22 · 59 · 7 · 197 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 2 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-261075388,1623558397281] |
[a1,a2,a3,a4,a6] |
j |
-21417553667311829/532 |
j-invariant |
L |
1.4980555657164 |
L(r)(E,1)/r! |
Ω |
0.18725693584613 |
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 |
126350bt1 6650l1 |
Quadratic twists by: 5 -19 |