Atkin-Lehner |
3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40749j |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
3403397229 = 3 · 176 · 47 |
Discriminant |
Eigenvalues |
0 3- 1 3 3 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-385,-902] |
[a1,a2,a3,a4,a6] |
j |
262144/141 |
j-invariant |
L |
2.2941580753483 |
L(r)(E,1)/r! |
Ω |
1.1470790376849 |
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 |
122247l1 141d1 |
Quadratic twists by: -3 17 |