Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77924f |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
139703684796368 = 24 · 7 · 119 · 232 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376713,-89118548] |
[a1,a2,a3,a4,a6] |
Generators |
[-1591058473744:-152419421219:4475809792] |
Generators of the group modulo torsion |
j |
208583809024000/4928693 |
j-invariant |
L |
3.6190432812993 |
L(r)(E,1)/r! |
Ω |
0.19270696980495 |
Real period |
R |
18.780033158259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7084j1 |
Quadratic twists by: -11 |