Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010bm |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
158366590209000000 = 26 · 38 · 56 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-867488,310614531] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:23787:1] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
9.0834833494673 |
L(r)(E,1)/r! |
Ω |
0.32441468059365 |
Real period |
R |
2.3333005288286 |
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 |
8670e6 90c6 |
Quadratic twists by: -3 17 |