Atkin-Lehner |
2- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
2686c |
Isogeny class |
Conductor |
2686 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
736434507858417904 = 24 · 1712 · 79 |
Discriminant |
Eigenvalues |
2- 1 -3 5 -6 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-398812,-87740384] |
[a1,a2,a3,a4,a6] |
Generators |
[-3805746:26040442:9261] |
Generators of the group modulo torsion |
j |
7015012231880398928833/736434507858417904 |
j-invariant |
L |
4.8876701459678 |
L(r)(E,1)/r! |
Ω |
0.19126937596826 |
Real period |
R |
3.1942320361173 |
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 |
21488e2 85952f2 24174g2 67150f2 |
Quadratic twists by: -4 8 -3 5 |