Atkin-Lehner |
2- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040bj |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
893393445190400 = 28 · 52 · 74 · 115 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21473156,38292239800] |
[a1,a2,a3,a4,a6] |
Generators |
[3207:49210:1] |
Generators of the group modulo torsion |
j |
4277316673500902930219344/3489818145275 |
j-invariant |
L |
3.9193364841085 |
L(r)(E,1)/r! |
Ω |
0.31069130404334 |
Real period |
R |
3.1537224035739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999947645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29260c2 |
Quadratic twists by: -4 |