Atkin-Lehner |
2- 3+ 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258x |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1.1751267559329E+30 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5492787257,147751232837501] |
[a1,a2,a3,a4,a6] |
Generators |
[4084060869449078693942:459476265260131113043477:65058906924317384] |
Generators of the group modulo torsion |
j |
18327450185421208146371745570388753/1175126755932920852015849905626 |
j-invariant |
L |
8.5071898671503 |
L(r)(E,1)/r! |
Ω |
0.026916084558564 |
Real period |
R |
35.118158308487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bf2 |
Quadratic twists by: -3 |