Atkin-Lehner |
2+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45248h |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-581213093888 = -1 · 224 · 73 · 101 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20769,1159585] |
[a1,a2,a3,a4,a6] |
j |
-3779648905033/2217152 |
j-invariant |
L |
1.8163984671798 |
L(r)(E,1)/r! |
Ω |
0.90819923371879 |
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 |
45248be1 1414a1 |
Quadratic twists by: -4 8 |