Atkin-Lehner |
2- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10736g |
Isogeny class |
Conductor |
10736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
5496832 = 213 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -3 0 -2 11+ -1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235,-1382] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:2:1] |
Generators of the group modulo torsion |
j |
350402625/1342 |
j-invariant |
L |
2.0910484914971 |
L(r)(E,1)/r! |
Ω |
1.2196427251685 |
Real period |
R |
0.85723812734099 |
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 |
1342d1 42944w1 96624br1 118096bb1 |
Quadratic twists by: -4 8 -3 -11 |