Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
42720n |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
469248 |
Modular degree for the optimal curve |
Δ |
-115092304997068800 = -1 · 212 · 313 · 52 · 893 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4595,-16320325] |
[a1,a2,a3,a4,a6] |
Generators |
[293:3204:1] |
Generators of the group modulo torsion |
j |
2618941474304/28098707274675 |
j-invariant |
L |
6.6126252410755 |
L(r)(E,1)/r! |
Ω |
0.15360390840315 |
Real period |
R |
0.27596057796246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42720j1 85440bc1 128160j1 |
Quadratic twists by: -4 8 -3 |