Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bn |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1293075129139200 = 215 · 34 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1421185,-651638975] |
[a1,a2,a3,a4,a6] |
Generators |
[5240:368445:1] |
Generators of the group modulo torsion |
j |
5468520153032/22275 |
j-invariant |
L |
6.0672130850019 |
L(r)(E,1)/r! |
Ω |
0.13827287140462 |
Real period |
R |
5.4848187530556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ea4 58080bv4 10560k3 |
Quadratic twists by: -4 8 -11 |