Atkin-Lehner |
2+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17080c |
Isogeny class |
Conductor |
17080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
187470080 = 28 · 5 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167,506] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:10:1] |
Generators of the group modulo torsion |
j |
2012024016/732305 |
j-invariant |
L |
4.9944812048342 |
L(r)(E,1)/r! |
Ω |
1.6435418566202 |
Real period |
R |
3.0388524543603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34160h1 85400y1 119560b1 |
Quadratic twists by: -4 5 -7 |