Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720bm |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2295184066560 = 211 · 37 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40683,-3157562] |
[a1,a2,a3,a4,a6] |
Generators |
[366:5566:1] |
Generators of the group modulo torsion |
j |
4987755354962/1537305 |
j-invariant |
L |
5.0841438093237 |
L(r)(E,1)/r! |
Ω |
0.33616643222958 |
Real period |
R |
3.7809722520507 |
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 |
55440j4 9240p3 |
Quadratic twists by: -4 -3 |