Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34122z |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-49458439998 = -1 · 2 · 33 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11- -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,905,-2089] |
[a1,a2,a3,a4,a6] |
Generators |
[190:1357:8] |
Generators of the group modulo torsion |
j |
46268279/27918 |
j-invariant |
L |
8.1219556739829 |
L(r)(E,1)/r! |
Ω |
0.65597098192659 |
Real period |
R |
2.0635962813803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366n1 3102f1 |
Quadratic twists by: -3 -11 |