Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720w |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.1670176191323E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7984227,6956276654] |
[a1,a2,a3,a4,a6] |
Generators |
[-2657:97020:1] |
Generators of the group modulo torsion |
j |
75404081626158563716/15633273575910375 |
j-invariant |
L |
6.6378924825007 |
L(r)(E,1)/r! |
Ω |
0.12039355912154 |
Real period |
R |
1.1486447259122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440ba3 9240r3 |
Quadratic twists by: -4 -3 |