Atkin-Lehner |
2- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272u |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
123552 |
Modular degree for the optimal curve |
Δ |
-561222736048 = -1 · 24 · 138 · 43 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 -3 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2929,-71850] |
[a1,a2,a3,a4,a6] |
Generators |
[3450:34750:27] |
Generators of the group modulo torsion |
j |
-212992/43 |
j-invariant |
L |
2.3350032340354 |
L(r)(E,1)/r! |
Ω |
0.32098402927153 |
Real period |
R |
7.2745154422923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999981315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29068d1 116272t1 |
Quadratic twists by: -4 13 |