Atkin-Lehner |
2- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
6308b |
Isogeny class |
Conductor |
6308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
-479408 = -1 · 24 · 192 · 83 |
Discriminant |
Eigenvalues |
2- 1 -2 1 3 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9,32] |
[a1,a2,a3,a4,a6] |
Generators |
[7:19:1] |
Generators of the group modulo torsion |
j |
-5619712/29963 |
j-invariant |
L |
4.3573777768915 |
L(r)(E,1)/r! |
Ω |
2.5562934801127 |
Real period |
R |
0.28409477829201 |
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 |
25232k1 100928g1 56772d1 119852c1 |
Quadratic twists by: -4 8 -3 -19 |