Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222j |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
Δ |
1.7225261080874E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75474491,-252357254229] |
[a1,a2,a3,a4,a6] |
j |
65222397193008782364395113/23628616023146496 |
j-invariant |
L |
3.892809116397 |
L(r)(E,1)/r! |
Ω |
0.051221172584174 |
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 |
10074a2 |
Quadratic twists by: -3 |