Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968cm |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
45696753984 = 26 · 3 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1094,9036] |
[a1,a2,a3,a4,a6] |
j |
19248832/6069 |
j-invariant |
L |
2.1005698761272 |
L(r)(E,1)/r! |
Ω |
1.0502849197205 |
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 |
79968k1 11424p1 |
Quadratic twists by: -4 -7 |