Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26656f |
Isogeny class |
Conductor |
26656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-20898304 = -1 · 29 · 74 · 17 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ -4 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,216] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-14:1] [10:34:1] |
Generators of the group modulo torsion |
j |
-392/17 |
j-invariant |
L |
5.5281419343121 |
L(r)(E,1)/r! |
Ω |
1.7904405512602 |
Real period |
R |
0.51459792306611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26656a1 53312d1 26656i1 |
Quadratic twists by: -4 8 -7 |