Atkin-Lehner |
2- 3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786ck |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
-353082531648 = -1 · 26 · 3 · 78 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1079,-31767] |
[a1,a2,a3,a4,a6] |
Generators |
[96:819:1] |
Generators of the group modulo torsion |
j |
-24100657/61248 |
j-invariant |
L |
9.7757461507551 |
L(r)(E,1)/r! |
Ω |
0.38768714805252 |
Real period |
R |
4.2025923083285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93786bu1 |
Quadratic twists by: -7 |