Atkin-Lehner |
3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34485h |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
79691587246047645 = 316 · 5 · 117 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-690912,-220916241] |
[a1,a2,a3,a4,a6] |
j |
20589072861673441/44983823445 |
j-invariant |
L |
2.6498468989181 |
L(r)(E,1)/r! |
Ω |
0.16561543118254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455s4 3135b4 |
Quadratic twists by: -3 -11 |