Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680bu |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.848357939684E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6811212,-6827041424] |
[a1,a2,a3,a4,a6] |
j |
182864522286982801/463015182960 |
j-invariant |
L |
1.495476256492 |
L(r)(E,1)/r! |
Ω |
0.093467266030579 |
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 |
31680dh4 990c3 10560q4 |
Quadratic twists by: -4 8 -3 |