Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616q |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
33673831488 = 26 · 33 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11898,-495504] |
[a1,a2,a3,a4,a6] |
Generators |
[26695:322538:125] |
Generators of the group modulo torsion |
j |
1643032000/297 |
j-invariant |
L |
4.0409674869374 |
L(r)(E,1)/r! |
Ω |
0.45712264146104 |
Real period |
R |
8.8400072987454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11616j1 23232bn1 34848m1 1056a1 |
Quadratic twists by: -4 8 -3 -11 |