Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080be |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6.2085945252101E+27 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 -3 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-832039052,-9985328195856] |
[a1,a2,a3,a4,a6] |
j |
-1762712152495281/171798691840 |
j-invariant |
L |
2.7396408253764 |
L(r)(E,1)/r! |
Ω |
0.013977759320208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080ct2 1690b2 54080f2 |
Quadratic twists by: -4 8 13 |