Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686d |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2618787679872 = -1 · 27 · 3 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21830,1234836] |
[a1,a2,a3,a4,a6] |
j |
-168712375/384 |
j-invariant |
L |
1.6243982248405 |
L(r)(E,1)/r! |
Ω |
0.81219911226595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686bb1 49686bw2 |
Quadratic twists by: -7 13 |