Atkin-Lehner |
3- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019s |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2527492922035263 = 34 · 7 · 136 · 314 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-514440,-142042301] |
[a1,a2,a3,a4,a6] |
Generators |
[-410410:259053:1000] |
Generators of the group modulo torsion |
j |
3119367718264897/523636407 |
j-invariant |
L |
11.966259698931 |
L(r)(E,1)/r! |
Ω |
0.17826675049136 |
Real period |
R |
8.3906979703827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
651d3 |
Quadratic twists by: 13 |