Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456c |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
30743691264 = 215 · 38 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6209,190209] |
[a1,a2,a3,a4,a6] |
Generators |
[51:60:1] |
Generators of the group modulo torsion |
j |
807995051144/938223 |
j-invariant |
L |
2.9802739569836 |
L(r)(E,1)/r! |
Ω |
1.1697826306091 |
Real period |
R |
2.5477160277476 |
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 |
27456be4 13728n3 82368br4 |
Quadratic twists by: -4 8 -3 |