Atkin-Lehner |
3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117bh |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-6.5609883162294E+21 |
Discriminant |
Eigenvalues |
0 3- -1 7- 11+ 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24155508,-45861269360] |
[a1,a2,a3,a4,a6] |
Generators |
[61750:15294415:1] |
Generators of the group modulo torsion |
j |
-442980486619070464/1864582578859 |
j-invariant |
L |
4.7529005907698 |
L(r)(E,1)/r! |
Ω |
0.034041299059303 |
Real period |
R |
2.9087833006121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013q1 9009g1 |
Quadratic twists by: -3 13 |