Atkin-Lehner |
2- 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
78694o |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-26071289463296 = -1 · 29 · 78 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- 3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4852,-278384] |
[a1,a2,a3,a4,a6] |
Generators |
[102:488:1] |
Generators of the group modulo torsion |
j |
-2191327873/4522496 |
j-invariant |
L |
8.7757322993682 |
L(r)(E,1)/r! |
Ω |
0.26842702962049 |
Real period |
R |
0.60542919749699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78694y1 |
Quadratic twists by: -7 |