Atkin-Lehner |
2+ 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720n |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
146764800 |
Modular degree for the optimal curve |
Δ |
-1.4490880966187E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81379701840,8935730440232688] |
[a1,a2,a3,a4,a6] |
j |
-58206574104159039843499662469343044/1415125094354152679443359375 |
j-invariant |
L |
3.7412816589178 |
L(r)(E,1)/r! |
Ω |
0.024941877735637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440l1 |
Quadratic twists by: -4 |