Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288bt |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-2.2208601192319E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 -1 13- 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,839877,-2247912470] |
[a1,a2,a3,a4,a6] |
j |
21942358211971079/743761560420918 |
j-invariant |
L |
3.9405833512576 |
L(r)(E,1)/r! |
Ω |
0.070367559842463 |
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 |
6786q1 18096bj1 |
Quadratic twists by: -4 -3 |