Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984z |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4919678159250742272 = 210 · 318 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-427251,-12892066] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:7018:1] |
Generators of the group modulo torsion |
j |
6522128932/3720087 |
j-invariant |
L |
3.360938272211 |
L(r)(E,1)/r! |
Ω |
0.20206144896484 |
Real period |
R |
4.1583120994248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968cg3 20328q4 504g4 |
Quadratic twists by: -4 -3 -11 |