Atkin-Lehner |
2- 3+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850cb |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
22256640 |
Modular degree for the optimal curve |
Δ |
-5.2776414541271E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -6 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4146962,-34799290069] |
[a1,a2,a3,a4,a6] |
Generators |
[254415:24633769:27] |
Generators of the group modulo torsion |
j |
12619259047740132786575/844422632660340122112 |
j-invariant |
L |
9.7504280516456 |
L(r)(E,1)/r! |
Ω |
0.044168200423671 |
Real period |
R |
2.0440439051037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850z1 |
Quadratic twists by: 5 |