Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398bc |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.8450677320485E+25 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2146015122,38263156784271] |
[a1,a2,a3,a4,a6] |
j |
1093004741378842730611072706997793/18450677320484777859731856 |
j-invariant |
L |
4.5491124687506 |
L(r)(E,1)/r! |
Ω |
0.063182117621537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184cm4 40194v4 93786cz4 |
Quadratic twists by: -4 -3 -7 |