Atkin-Lehner |
2+ 3- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990o |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-22293218442240 = -1 · 210 · 37 · 5 · 172 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7155,-323595] |
[a1,a2,a3,a4,a6] |
Generators |
[198:-2547:1] |
Generators of the group modulo torsion |
j |
-55572411167281/30580546560 |
j-invariant |
L |
2.0237725888022 |
L(r)(E,1)/r! |
Ω |
0.25306430037099 |
Real period |
R |
0.99963356889353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42330bi1 |
Quadratic twists by: -3 |