Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298i |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
40113391373838 = 2 · 36 · 317 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2860116,1862474714] |
[a1,a2,a3,a4,a6] |
Generators |
[144205:1160874:125] |
Generators of the group modulo torsion |
j |
3999236143617/62 |
j-invariant |
L |
4.1900899088959 |
L(r)(E,1)/r! |
Ω |
0.45988420271146 |
Real period |
R |
9.111184694302 |
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 |
1922d3 558c3 |
Quadratic twists by: -3 -31 |