Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bw |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
555377872896 = 212 · 33 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 4 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549,71883] |
[a1,a2,a3,a4,a6] |
Generators |
[21:84:1] |
Generators of the group modulo torsion |
j |
82458112/9261 |
j-invariant |
L |
11.525437382896 |
L(r)(E,1)/r! |
Ω |
0.89284676438478 |
Real period |
R |
0.71714666216963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81312g1 81312u1 |
Quadratic twists by: -4 -11 |