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 |
Δ |
546560000 = 211 · 54 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18227,-947154] |
[a1,a2,a3,a4,a6] |
Generators |
[-578265870:-3925702:7414875] |
Generators of the group modulo torsion |
j |
326993666206482/266875 |
j-invariant |
L |
4.9944812048342 |
L(r)(E,1)/r! |
Ω |
0.41088546415505 |
Real period |
R |
12.155409817441 |
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 |
34160h4 85400y4 119560b4 |
Quadratic twists by: -4 5 -7 |