Atkin-Lehner |
2- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
17420b |
Isogeny class |
Conductor |
17420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-905840 = -1 · 24 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66,-235] |
[a1,a2,a3,a4,a6] |
Generators |
[122:403:8] |
Generators of the group modulo torsion |
j |
-2017433344/56615 |
j-invariant |
L |
5.2022021992202 |
L(r)(E,1)/r! |
Ω |
0.83506062042948 |
Real period |
R |
3.1148650001869 |
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 |
69680o1 87100k1 |
Quadratic twists by: -4 5 |