Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400cr |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-11406540800 = -1 · 217 · 52 · 592 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 5 4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353,-5857] |
[a1,a2,a3,a4,a6] |
Generators |
[669:944:27] |
Generators of the group modulo torsion |
j |
-1488770/3481 |
j-invariant |
L |
7.8220231696677 |
L(r)(E,1)/r! |
Ω |
0.51422311893235 |
Real period |
R |
1.9014176146222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400h1 23600c1 94400dm1 |
Quadratic twists by: -4 8 5 |