Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574o |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-38371444254 = -1 · 2 · 38 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5553,160947] |
[a1,a2,a3,a4,a6] |
j |
-25979045828113/52635726 |
j-invariant |
L |
2.3077791570833 |
L(r)(E,1)/r! |
Ω |
1.1538895785417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20592bj2 82368z2 858j2 64350eq2 |
Quadratic twists by: -4 8 -3 5 |