Atkin-Lehner |
2- 3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
114708g |
Isogeny class |
Conductor |
114708 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
-705203501536512 = -1 · 28 · 39 · 116 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 11- -5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96356,-11551032] |
[a1,a2,a3,a4,a6] |
j |
-218156637904/1554957 |
j-invariant |
L |
3.6566083992201 |
L(r)(E,1)/r! |
Ω |
0.13542991115318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
948b1 |
Quadratic twists by: -11 |