Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450r |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3.8406806565199E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-249083200,-3343740416000] |
[a1,a2,a3,a4,a6] |
Generators |
[1053921541456550750134302700610442576975673902142695:411418772938894345613837502633487951246560779661848840:6820192712256572917317723617647060973795074897] |
Generators of the group modulo torsion |
j |
-875038145011933029211349/1966428496138183114752 |
j-invariant |
L |
2.8424164934227 |
L(r)(E,1)/r! |
Ω |
0.017774272859596 |
Real period |
R |
79.958727872463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350ex2 21450cx2 |
Quadratic twists by: -3 5 |