Atkin-Lehner |
2- 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040l |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-34288417280000 = -1 · 212 · 54 · 13 · 1013 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 4 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6304,-207680] |
[a1,a2,a3,a4,a6] |
j |
6763063792031/8371195625 |
j-invariant |
L |
1.4014747588519 |
L(r)(E,1)/r! |
Ω |
0.35036869183054 |
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 |
6565b1 |
Quadratic twists by: -4 |