Atkin-Lehner |
3+ 5- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755i |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
216459274628025 = 32 · 52 · 112 · 132 · 196 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11- 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-980837,373480536] |
[a1,a2,a3,a4,a6] |
Generators |
[4598:-1199:8] |
Generators of the group modulo torsion |
j |
104355399483125445360601/216459274628025 |
j-invariant |
L |
4.1559084739199 |
L(r)(E,1)/r! |
Ω |
0.48273953459497 |
Real period |
R |
4.3045039571981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122265f2 |
Quadratic twists by: -3 |