Atkin-Lehner |
2- 7+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79856c |
Isogeny class |
Conductor |
79856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
166130408751104 = 230 · 7 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54304,-4813056] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:114:1] [306:2670:1] |
Generators of the group modulo torsion |
j |
4323816191582497/40559181824 |
j-invariant |
L |
12.780040448431 |
L(r)(E,1)/r! |
Ω |
0.31292252737326 |
Real period |
R |
20.420454474479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982e1 |
Quadratic twists by: -4 |