Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14520bf |
Isogeny class |
Conductor |
14520 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
251328 |
Modular degree for the optimal curve |
Δ |
-97265342253750000 = -1 · 24 · 3 · 57 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2054620,-1132976975] |
[a1,a2,a3,a4,a6] |
j |
-2311381447936/234375 |
j-invariant |
L |
0.88269782641413 |
L(r)(E,1)/r! |
Ω |
0.063049844743866 |
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 |
29040bj1 116160cx1 43560k1 72600bj1 |
Quadratic twists by: -4 8 -3 5 |