Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448n |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-939145529088 = -1 · 28 · 314 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1329,42734] |
[a1,a2,a3,a4,a6] |
Generators |
[26:308:1] |
Generators of the group modulo torsion |
j |
1391012912/5032287 |
j-invariant |
L |
5.278156288454 |
L(r)(E,1)/r! |
Ω |
0.62702115508388 |
Real period |
R |
4.2089140285569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55224p1 36816a1 |
Quadratic twists by: -4 -3 |