Atkin-Lehner |
2+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17080a |
Isogeny class |
Conductor |
17080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3392 |
Modular degree for the optimal curve |
Δ |
-2732800 = -1 · 28 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 0 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,739] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:38:1] [-1:30:1] |
Generators of the group modulo torsion |
j |
-1814078464/10675 |
j-invariant |
L |
4.8871207300734 |
L(r)(E,1)/r! |
Ω |
2.5676419435581 |
Real period |
R |
0.23791872258194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34160f1 85400ba1 119560l1 |
Quadratic twists by: -4 5 -7 |