Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496s |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
17661952 = 215 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 11+ -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,1] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] [-1:8:1] |
Generators of the group modulo torsion |
j |
19208/11 |
j-invariant |
L |
5.4768950620613 |
L(r)(E,1)/r! |
Ω |
1.8209622609517 |
Real period |
R |
0.75192319735375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496bk1 17248bc1 34496a1 |
Quadratic twists by: -4 8 -7 |