Atkin-Lehner |
2+ 7+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8806b |
Isogeny class |
Conductor |
8806 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
431494 = 2 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 2 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38,-86] |
[a1,a2,a3,a4,a6] |
j |
5841725401/431494 |
j-invariant |
L |
1.9379968263591 |
L(r)(E,1)/r! |
Ω |
1.9379968263591 |
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 |
70448s1 79254ba1 61642e1 |
Quadratic twists by: -4 -3 -7 |