Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600g |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-111612119056000000 = -1 · 210 · 56 · 178 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,113192,-6633888] |
[a1,a2,a3,a4,a6] |
Generators |
[684918:22209650:729] |
Generators of the group modulo torsion |
j |
415292/289 |
j-invariant |
L |
9.4666371320313 |
L(r)(E,1)/r! |
Ω |
0.18835331175523 |
Real period |
R |
6.2824998162719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999578096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57800h2 4624d2 6800d2 |
Quadratic twists by: -4 5 17 |