Atkin-Lehner |
2+ 3+ 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33306b |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
9.7465046322381E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50900194,138943668340] |
[a1,a2,a3,a4,a6] |
j |
14584180754203200822938035753/97465046322380654002176 |
j-invariant |
L |
1.0719178513627 |
L(r)(E,1)/r! |
Ω |
0.10719178513577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99918ba2 |
Quadratic twists by: -3 |