Atkin-Lehner |
5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14045c |
Isogeny class |
Conductor |
14045 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
84240 |
Modular degree for the optimal curve |
Δ |
146838892479625 = 53 · 537 |
Discriminant |
Eigenvalues |
1 0 5- 2 0 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-386764,92674923] |
[a1,a2,a3,a4,a6] |
j |
288673724529/6625 |
j-invariant |
L |
1.6078455876697 |
L(r)(E,1)/r! |
Ω |
0.53594852922322 |
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 |
126405q1 70225c1 265a1 |
Quadratic twists by: -3 5 53 |