Atkin-Lehner |
2+ 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570j |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22913875952890 = -1 · 2 · 5 · 138 · 532 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6588,-100654] |
[a1,a2,a3,a4,a6] |
j |
6549699311/4747210 |
j-invariant |
L |
3.0403283961924 |
L(r)(E,1)/r! |
Ω |
0.38004105896293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890n2 |
Quadratic twists by: 13 |