Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cl |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
8548384768 = 217 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11+ 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737,6047] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:8:1] |
Generators of the group modulo torsion |
j |
6902546/1331 |
j-invariant |
L |
7.7568856985256 |
L(r)(E,1)/r! |
Ω |
1.2395647193749 |
Real period |
R |
3.1288748289145 |
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 |
34496bm1 8624g1 34496cb1 |
Quadratic twists by: -4 8 -7 |