Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640bm |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
3841663386400000 = 28 · 55 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51221,-3336145] |
[a1,a2,a3,a4,a6] |
j |
205520896/53125 |
j-invariant |
L |
0.64683516413972 |
L(r)(E,1)/r! |
Ω |
0.32341758084821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660d1 66640bt1 |
Quadratic twists by: -4 -7 |