Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240gh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
-390468750000000000 = -1 · 210 · 3 · 516 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-517501,-146237315] |
[a1,a2,a3,a4,a6] |
j |
-14967807005098080256/381317138671875 |
j-invariant |
L |
2.8437296734959 |
L(r)(E,1)/r! |
Ω |
0.088866546528897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dh1 28560ca1 |
Quadratic twists by: -4 8 |