Atkin-Lehner |
2+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17080d |
Isogeny class |
Conductor |
17080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15303680 = 210 · 5 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318827,-69291626] |
[a1,a2,a3,a4,a6] |
Generators |
[2204966136282:16466975156195:3254952168] |
Generators of the group modulo torsion |
j |
3500169157210530564/14945 |
j-invariant |
L |
4.3223617830876 |
L(r)(E,1)/r! |
Ω |
0.20091426896242 |
Real period |
R |
21.513463455879 |
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 |
34160i4 85400z4 119560d4 |
Quadratic twists by: -4 5 -7 |