Atkin-Lehner |
2- 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216u |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
109870055424 = 218 · 33 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139664,20136384] |
[a1,a2,a3,a4,a6] |
Generators |
[225:228:1] |
Generators of the group modulo torsion |
j |
73556372280592657/26823744 |
j-invariant |
L |
3.7556069994266 |
L(r)(E,1)/r! |
Ω |
0.85417846324358 |
Real period |
R |
2.1983737363074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902l1 117648bx1 |
Quadratic twists by: -4 -3 |