Atkin-Lehner |
13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
871a |
Isogeny class |
Conductor |
871 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
-1913587 = -1 · 134 · 67 |
Discriminant |
Eigenvalues |
2 2 2 2 0 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-42,139] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/1913587 |
j-invariant |
L |
5.0240878676156 |
L(r)(E,1)/r! |
Ω |
2.5120439338078 |
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 |
13936a1 55744f1 7839b1 21775f1 |
Quadratic twists by: -4 8 -3 5 |