Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690i |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.4798864179648E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156558780,754013815200] |
[a1,a2,a3,a4,a6] |
j |
582141379245599923753913281/11632217308593750000 |
j-invariant |
L |
1.9268198857399 |
L(r)(E,1)/r! |
Ω |
0.12042624285893 |
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 |
10230bd3 |
Quadratic twists by: -3 |