Atkin-Lehner |
3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545d |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
93184 |
Modular degree for the optimal curve |
Δ |
10668484850625 = 32 · 54 · 79 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 6 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5881,71294] |
[a1,a2,a3,a4,a6] |
j |
557441767/264375 |
j-invariant |
L |
1.2862422413757 |
L(r)(E,1)/r! |
Ω |
0.64312112069406 |
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 |
103635bn1 34545x1 |
Quadratic twists by: -3 -7 |