Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9196b |
Isogeny class |
Conductor |
9196 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-123005696 = -1 · 28 · 113 · 192 |
Discriminant |
Eigenvalues |
2- -1 1 2 11+ 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2845,59369] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-38:1] |
Generators of the group modulo torsion |
j |
-7476617216/361 |
j-invariant |
L |
4.2482940842996 |
L(r)(E,1)/r! |
Ω |
1.752617735221 |
Real period |
R |
0.20199756051215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36784j1 82764f1 9196a1 |
Quadratic twists by: -4 -3 -11 |