Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
36360r |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-2484978750000 = -1 · 24 · 39 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52518,-4633067] |
[a1,a2,a3,a4,a6] |
j |
-1373411683895296/213046875 |
j-invariant |
L |
0.63073722620852 |
L(r)(E,1)/r! |
Ω |
0.15768430656002 |
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 |
72720m1 12120h1 |
Quadratic twists by: -4 -3 |