Atkin-Lehner |
2- 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
6954j |
Isogeny class |
Conductor |
6954 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-955749804624 = -1 · 24 · 36 · 192 · 613 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 -1 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37916,2826317] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1645:1] |
Generators of the group modulo torsion |
j |
-6028259952047030209/955749804624 |
j-invariant |
L |
5.3130875083905 |
L(r)(E,1)/r! |
Ω |
0.8525660143168 |
Real period |
R |
0.12983079460441 |
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 |
55632bc1 20862h1 |
Quadratic twists by: -4 -3 |