Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11152r |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-5846859776 = -1 · 223 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 -3 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-752,-9004] |
[a1,a2,a3,a4,a6] |
Generators |
[92:842:1] |
Generators of the group modulo torsion |
j |
-11497268593/1427456 |
j-invariant |
L |
3.6151597756627 |
L(r)(E,1)/r! |
Ω |
0.45264699024403 |
Real period |
R |
3.9933544832738 |
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 |
1394h1 44608bj1 100368br1 |
Quadratic twists by: -4 8 -3 |