Atkin-Lehner |
2+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17056a |
Isogeny class |
Conductor |
17056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6976 |
Modular degree for the optimal curve |
Δ |
-11188736 = -1 · 29 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ -3 1 3 -6 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53,-62] |
[a1,a2,a3,a4,a6] |
Generators |
[18:82:1] |
Generators of the group modulo torsion |
j |
32157432/21853 |
j-invariant |
L |
3.1844863585379 |
L(r)(E,1)/r! |
Ω |
1.287594608172 |
Real period |
R |
1.2366028633263 |
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 |
17056b1 34112g1 |
Quadratic twists by: -4 8 |