Atkin-Lehner |
11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34969l |
Isogeny class |
Conductor |
34969 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
660960 |
Modular degree for the optimal curve |
Δ |
-1.6448471150982E+19 |
Discriminant |
Eigenvalues |
-2 0 1 2 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,594473,83374838] |
[a1,a2,a3,a4,a6] |
Generators |
[1156:48118:1] |
Generators of the group modulo torsion |
j |
1880064/1331 |
j-invariant |
L |
3.0483648518982 |
L(r)(E,1)/r! |
Ω |
0.13941870786737 |
Real period |
R |
3.6441365468188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179g1 34969i1 |
Quadratic twists by: -11 17 |