Atkin-Lehner |
2- 3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79992m |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
2704767860323584 = 28 · 310 · 116 · 101 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11+ -1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40764,1942724] |
[a1,a2,a3,a4,a6] |
Generators |
[248:-2662:1] |
Generators of the group modulo torsion |
j |
40140853015552/14493140541 |
j-invariant |
L |
4.7029469010062 |
L(r)(E,1)/r! |
Ω |
0.41634183968144 |
Real period |
R |
1.4119848318949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26664a1 |
Quadratic twists by: -3 |