Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792y |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-582569851302768 = -1 · 24 · 3 · 79 · 673 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 7 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7432,1137261] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:603:1] |
Generators of the group modulo torsion |
j |
70304000/902289 |
j-invariant |
L |
8.9329043634519 |
L(r)(E,1)/r! |
Ω |
0.38203802638608 |
Real period |
R |
1.9485199001936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78792s1 |
Quadratic twists by: -7 |