Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
42720j |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
12 |
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] |
j |
2618941474304/28098707274675 |
j-invariant |
L |
3.146201253977 |
L(r)(E,1)/r! |
Ω |
0.26218343782863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42720n1 85440bm1 128160i1 |
Quadratic twists by: -4 8 -3 |