Atkin-Lehner |
2+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
82544h |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
907984 = 24 · 7 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3 -3 7+ 11+ -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34,-61] |
[a1,a2,a3,a4,a6] |
j |
271669248/56749 |
j-invariant |
L |
4.0124688578721 |
L(r)(E,1)/r! |
Ω |
2.0062344042674 |
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 |
41272p1 |
Quadratic twists by: -4 |