Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bq |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
10895473890000 = 24 · 33 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15582,-731619] |
[a1,a2,a3,a4,a6] |
j |
8232302592/214375 |
j-invariant |
L |
3.4239212916596 |
L(r)(E,1)/r! |
Ω |
0.42799016145745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280o1 17640c1 88200f1 2520m1 |
Quadratic twists by: -4 -3 5 -7 |