Atkin-Lehner |
2+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450a |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-1871446016000000 = -1 · 224 · 56 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11+ 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27650,2720500] |
[a1,a2,a3,a4,a6] |
j |
-149628263143969/119772545024 |
j-invariant |
L |
1.7199190495938 |
L(r)(E,1)/r! |
Ω |
0.42997976239668 |
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 |
1298b1 |
Quadratic twists by: 5 |