Atkin-Lehner |
2- 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190cg |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-102859146000000 = -1 · 27 · 34 · 56 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3695,481775] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-872:1] [-47:478:1] |
Generators of the group modulo torsion |
j |
2539391358707/46818000000 |
j-invariant |
L |
13.070347908587 |
L(r)(E,1)/r! |
Ω |
0.44515776825415 |
Real period |
R |
0.34953760432811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190k2 |
Quadratic twists by: 13 |