Atkin-Lehner |
2- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
7832b |
Isogeny class |
Conductor |
7832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-11027456 = -1 · 210 · 112 · 89 |
Discriminant |
Eigenvalues |
2- -1 -3 0 11+ -2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,-164] |
[a1,a2,a3,a4,a6] |
Generators |
[14:44:1] |
Generators of the group modulo torsion |
j |
-3650692/10769 |
j-invariant |
L |
2.3604702655588 |
L(r)(E,1)/r! |
Ω |
0.92601198138592 |
Real period |
R |
0.63726774410251 |
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 |
15664c1 62656h1 70488d1 86152b1 |
Quadratic twists by: -4 8 -3 -11 |