Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13950b |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65390625000000000 = 29 · 33 · 516 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6343917,6151704741] |
[a1,a2,a3,a4,a6] |
Generators |
[1585:7959:1] |
Generators of the group modulo torsion |
j |
66928707375050045043/155000000000 |
j-invariant |
L |
3.6632555227682 |
L(r)(E,1)/r! |
Ω |
0.30103880601355 |
Real period |
R |
6.0843576469062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600cn2 13950bq2 2790r2 |
Quadratic twists by: -4 -3 5 |