Atkin-Lehner |
2- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950x |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
1229169264128000000 = 215 · 56 · 133 · 1033 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-785513,262275031] |
[a1,a2,a3,a4,a6] |
j |
3430550772360231625/78666832904192 |
j-invariant |
L |
8.1780192049361 |
L(r)(E,1)/r! |
Ω |
0.27260064017139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678h2 |
Quadratic twists by: 5 |