Atkin-Lehner |
3- 5+ 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755o |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
34942318125 = 3 · 54 · 11 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2476,46355] |
[a1,a2,a3,a4,a6] |
Generators |
[34:25:1] |
Generators of the group modulo torsion |
j |
1678752203514049/34942318125 |
j-invariant |
L |
3.8240851571765 |
L(r)(E,1)/r! |
Ω |
1.160943866354 |
Real period |
R |
3.2939449253376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265bg4 |
Quadratic twists by: -3 |