Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fu |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-195334530311250000 = -1 · 24 · 36 · 57 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 0 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68630,22378997] |
[a1,a2,a3,a4,a6] |
j |
-14641/80 |
j-invariant |
L |
6.6075690948035 |
L(r)(E,1)/r! |
Ω |
0.27531537898585 |
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 |
6050e1 10890o1 54450cg1 |
Quadratic twists by: -3 5 -11 |