Atkin-Lehner |
2+ 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57722g |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
83350568 = 23 · 72 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 3 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5520,155576] |
[a1,a2,a3,a4,a6] |
j |
379723776609625/1701032 |
j-invariant |
L |
1.6945802293433 |
L(r)(E,1)/r! |
Ω |
1.6945802315265 |
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 |
57722d2 |
Quadratic twists by: -7 |