Atkin-Lehner |
2- 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674s |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
30276734852 = 22 · 78 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1569,21755] |
[a1,a2,a3,a4,a6] |
j |
3630961153/257348 |
j-invariant |
L |
2.3039307447633 |
L(r)(E,1)/r! |
Ω |
1.1519657742514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18382j1 |
Quadratic twists by: -7 |