Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200q |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.1131827526542E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-306691208,-1620728504088] |
[a1,a2,a3,a4,a6] |
j |
3190271850747360131752/711318275265415689 |
j-invariant |
L |
0.073302566055457 |
L(r)(E,1)/r! |
Ω |
0.036651283065701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200bj2 110400iy2 55200cw2 |
Quadratic twists by: -4 8 5 |