Atkin-Lehner |
2- 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
78694r |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
320071634036 = 22 · 77 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11+ 2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1798,11393] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:205:1] |
Generators of the group modulo torsion |
j |
5461074081/2720564 |
j-invariant |
L |
8.2782527432536 |
L(r)(E,1)/r! |
Ω |
0.85554138927994 |
Real period |
R |
1.2095050057753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242g1 |
Quadratic twists by: -7 |