Atkin-Lehner |
2+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17080d |
Isogeny class |
Conductor |
17080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57178374400 = 28 · 52 · 74 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19927,-1082646] |
[a1,a2,a3,a4,a6] |
Generators |
[-977770918:-92662050:12008989] |
Generators of the group modulo torsion |
j |
3418294759624656/223353025 |
j-invariant |
L |
4.3223617830876 |
L(r)(E,1)/r! |
Ω |
0.40182853792483 |
Real period |
R |
10.75673172794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34160i2 85400z2 119560d2 |
Quadratic twists by: -4 5 -7 |