Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42944l |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-316969664 = -1 · 26 · 113 · 612 |
Discriminant |
Eigenvalues |
2+ -1 3 2 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-239,-1583] |
[a1,a2,a3,a4,a6] |
Generators |
[24:77:1] |
Generators of the group modulo torsion |
j |
-23689358848/4952651 |
j-invariant |
L |
6.8242056334158 |
L(r)(E,1)/r! |
Ω |
0.60017162332603 |
Real period |
R |
1.895070612082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944d1 21472c1 |
Quadratic twists by: -4 8 |