Atkin-Lehner |
2+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110032a |
Isogeny class |
Conductor |
110032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-352356832588507136 = -1 · 211 · 133 · 238 |
Discriminant |
Eigenvalues |
2+ 1 1 -1 2 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,160640,-14142188] |
[a1,a2,a3,a4,a6] |
j |
1512116062/1162213 |
j-invariant |
L |
1.3516914084682 |
L(r)(E,1)/r! |
Ω |
0.16896140544825 |
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 |
55016d1 4784a1 |
Quadratic twists by: -4 -23 |