Atkin-Lehner |
2- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
55616v |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-4393664 = -1 · 26 · 11 · 792 |
Discriminant |
Eigenvalues |
2- 1 -1 2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39,53] |
[a1,a2,a3,a4,a6] |
Generators |
[4:17:1] |
Generators of the group modulo torsion |
j |
99897344/68651 |
j-invariant |
L |
6.9135940493589 |
L(r)(E,1)/r! |
Ω |
1.5491620707542 |
Real period |
R |
2.2313979214556 |
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 |
55616j1 13904j1 |
Quadratic twists by: -4 8 |