Atkin-Lehner |
2- 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bh |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-941458675248 = -1 · 24 · 39 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5106,147989] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:403:1] [-26:513:1] |
Generators of the group modulo torsion |
j |
-1262172264448/80714907 |
j-invariant |
L |
10.781392460793 |
L(r)(E,1)/r! |
Ω |
0.86898146634485 |
Real period |
R |
0.77543314245729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999942808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496b1 |
Quadratic twists by: -3 |