Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42944u |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-107222192704 = -1 · 26 · 112 · 614 |
Discriminant |
Eigenvalues |
2- 0 2 -4 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1079,20840] |
[a1,a2,a3,a4,a6] |
Generators |
[-780:4510:27] |
Generators of the group modulo torsion |
j |
-2170741315392/1675346761 |
j-invariant |
L |
4.8766036508702 |
L(r)(E,1)/r! |
Ω |
0.97155499199377 |
Real period |
R |
5.0193799538405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42944o1 21472d2 |
Quadratic twists by: -4 8 |