Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150ci |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-194996195325312500 = -1 · 22 · 57 · 710 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-151313,-31121469] |
[a1,a2,a3,a4,a6] |
j |
-86806489/44180 |
j-invariant |
L |
1.8910274712094 |
L(r)(E,1)/r! |
Ω |
0.11818923772499 |
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 |
23030j1 115150bi1 |
Quadratic twists by: 5 -7 |