Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bt |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
736905658368000 = 227 · 3 · 53 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124065,-16727775] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:220:1] |
Generators of the group modulo torsion |
j |
55025549689/192000 |
j-invariant |
L |
5.933939031033 |
L(r)(E,1)/r! |
Ω |
0.25443571164556 |
Real period |
R |
1.2956643415892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160iu2 3630i2 116160bo2 |
Quadratic twists by: -4 8 -11 |