Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078ch |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
21104585213712 = 24 · 3 · 72 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-962374,-363783373] |
[a1,a2,a3,a4,a6] |
Generators |
[-386348072:197047797:681472] |
Generators of the group modulo torsion |
j |
20421858870283753/4372368 |
j-invariant |
L |
6.8530195196266 |
L(r)(E,1)/r! |
Ω |
0.15242759155094 |
Real period |
R |
11.239794992444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006d1 |
Quadratic twists by: 13 |