Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720w |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3.751087725E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39564507,-95786586394] |
[a1,a2,a3,a4,a6] |
Generators |
[10762:851400:1] |
Generators of the group modulo torsion |
j |
9175156963749600923236/50249267578125 |
j-invariant |
L |
6.6378924825007 |
L(r)(E,1)/r! |
Ω |
0.060196779560772 |
Real period |
R |
4.594578903649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440ba4 9240r4 |
Quadratic twists by: -4 -3 |