Atkin-Lehner |
2+ 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190r |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4519630875240000 = 26 · 34 · 54 · 136 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71152,-6579776] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:856:1] |
Generators of the group modulo torsion |
j |
8253429989329/936360000 |
j-invariant |
L |
5.971460534103 |
L(r)(E,1)/r! |
Ω |
0.29447395796327 |
Real period |
R |
2.5347999243154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005422 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
510d2 |
Quadratic twists by: 13 |