Atkin-Lehner |
3+ 5- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755h |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
34845525 = 33 · 52 · 11 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20590,-1145770] |
[a1,a2,a3,a4,a6] |
Generators |
[1382:4905:8] |
Generators of the group modulo torsion |
j |
965370604118600161/34845525 |
j-invariant |
L |
2.7625728774119 |
L(r)(E,1)/r! |
Ω |
0.39855233613016 |
Real period |
R |
6.9315184656388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265p2 |
Quadratic twists by: -3 |