Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968cl |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
47021959849536 = 26 · 32 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40882,-3178120] |
[a1,a2,a3,a4,a6] |
j |
1003604321728/6245001 |
j-invariant |
L |
6.0457603437809 |
L(r)(E,1)/r! |
Ω |
0.33587557596273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79968h1 11424m1 |
Quadratic twists by: -4 -7 |