Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700s |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-3021955593750000 = -1 · 24 · 39 · 59 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-191958,32543037] |
[a1,a2,a3,a4,a6] |
Generators |
[367:3375:1] |
Generators of the group modulo torsion |
j |
-5095042816/19683 |
j-invariant |
L |
5.833999976439 |
L(r)(E,1)/r! |
Ω |
0.45245528712332 |
Real period |
R |
3.2235229311077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700by1 86700bx1 |
Quadratic twists by: 5 17 |