Atkin-Lehner |
2+ 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448i |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
5582483712 = 28 · 37 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89751,10349206] |
[a1,a2,a3,a4,a6] |
j |
428424311011408/29913 |
j-invariant |
L |
2.0531886537115 |
L(r)(E,1)/r! |
Ω |
1.0265942998658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55224g1 36816f1 |
Quadratic twists by: -4 -3 |