Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340k |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
5.743236387162E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71010620,230315561400] |
[a1,a2,a3,a4,a6] |
j |
1314817350433665559504/190690249278375 |
j-invariant |
L |
2.346070474332 |
L(r)(E,1)/r! |
Ω |
0.13033724857403 |
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 |
129360ht2 97020bp2 4620h2 |
Quadratic twists by: -4 -3 -7 |