Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148j |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
1048173771184848 = 24 · 34 · 73 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248453,-47558454] |
[a1,a2,a3,a4,a6] |
Generators |
[-3546756376:-1550973375:12487168] |
Generators of the group modulo torsion |
j |
131072000/81 |
j-invariant |
L |
5.7280744278283 |
L(r)(E,1)/r! |
Ω |
0.21384763773143 |
Real period |
R |
13.392886844365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71148bl1 71148k1 |
Quadratic twists by: -7 -11 |