Atkin-Lehner |
2+ 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770l |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-242206341499345080 = -1 · 23 · 3 · 5 · 114 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,36163,23544981] |
[a1,a2,a3,a4,a6] |
j |
1083523132511/50179392120 |
j-invariant |
L |
1.8967398763213 |
L(r)(E,1)/r! |
Ω |
0.23709248428614 |
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 |
4290t4 |
Quadratic twists by: 13 |