Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fq |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.7585451582536E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4440396675,-113888352410750] |
[a1,a2,a3,a4,a6] |
j |
207530301091125281552569/805586668007040 |
j-invariant |
L |
2.3673048267995 |
L(r)(E,1)/r! |
Ω |
0.018494568945633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550h4 22800dj4 13680bx3 |
Quadratic twists by: -4 -3 5 |