Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096da |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-6415255026432 = -1 · 28 · 33 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 3 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3659,88367] |
[a1,a2,a3,a4,a6] |
j |
524288/621 |
j-invariant |
L |
6.0299458710588 |
L(r)(E,1)/r! |
Ω |
0.50249548922628 |
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 |
13524f1 54096bs1 |
Quadratic twists by: -4 -7 |