Atkin-Lehner |
2- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107584h |
Isogeny class |
Conductor |
107584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-304006671424 = -1 · 26 · 416 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1681,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
2.3164624016287 |
L(r)(E,1)/r! |
Ω |
0.57911563435312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107584h1 53792e2 64a4 |
Quadratic twists by: -4 8 41 |