Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bt |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
Δ |
4.4667716252216E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121436385788,-16288104759456833] |
[a1,a2,a3,a4,a6] |
j |
10061875034656315127038554254336763/2269355090800000000 |
j-invariant |
L |
4.5289796934603 |
L(r)(E,1)/r! |
Ω |
0.008087463737226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290k2 |
Quadratic twists by: -3 |