Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78792x |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-214529657328 = -1 · 24 · 35 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -3 3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604,22805] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:147:1] [2:-147:1] |
Generators of the group modulo torsion |
j |
-12967168/113967 |
j-invariant |
L |
11.390105774124 |
L(r)(E,1)/r! |
Ω |
0.85395503645851 |
Real period |
R |
0.3334515661787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11256d1 |
Quadratic twists by: -7 |