Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700bc |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-3148426195200 = -1 · 28 · 37 · 52 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,-87410] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2574:1] |
Generators of the group modulo torsion |
j |
-56397520/674817 |
j-invariant |
L |
5.459492925094 |
L(r)(E,1)/r! |
Ω |
0.34014557756292 |
Real period |
R |
0.22292305373113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999687233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900ba1 128700ca1 |
Quadratic twists by: -3 5 |