Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10384f |
Isogeny class |
Conductor |
10384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
888 |
Modular degree for the optimal curve |
Δ |
-612656 = -1 · 24 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16,-45] |
[a1,a2,a3,a4,a6] |
j |
-28311552/38291 |
j-invariant |
L |
0.56845197837146 |
L(r)(E,1)/r! |
Ω |
1.1369039567429 |
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 |
2596a1 41536m1 93456bb1 114224q1 |
Quadratic twists by: -4 8 -3 -11 |