Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32144q |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
1317904 = 24 · 72 · 412 |
Discriminant |
Eigenvalues |
2- -1 1 7- -3 -2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30,43] |
[a1,a2,a3,a4,a6] |
Generators |
[13:41:1] |
Generators of the group modulo torsion |
j |
3937024/1681 |
j-invariant |
L |
3.9751106912824 |
L(r)(E,1)/r! |
Ω |
2.4497204834384 |
Real period |
R |
0.81133964428933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8036d1 128576ch1 32144m1 |
Quadratic twists by: -4 8 -7 |