Atkin-Lehner |
2- 3+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
54384p |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1482321901104 = -1 · 24 · 38 · 113 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2337,-72180] |
[a1,a2,a3,a4,a6] |
j |
-88260358586368/92645118819 |
j-invariant |
L |
0.98864189736374 |
L(r)(E,1)/r! |
Ω |
0.32954729914749 |
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 |
13596b1 |
Quadratic twists by: -4 |