Atkin-Lehner |
2+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17290a |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2065633665976562500 = 22 · 510 · 74 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-356755,44193825] |
[a1,a2,a3,a4,a6] |
Generators |
[-2322:89967:8] |
Generators of the group modulo torsion |
j |
5021513129647002810249/2065633665976562500 |
j-invariant |
L |
2.4182501637152 |
L(r)(E,1)/r! |
Ω |
0.23681987628577 |
Real period |
R |
5.1056739865811 |
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 |
86450bi2 121030s2 |
Quadratic twists by: 5 -7 |