Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120d |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9.514683129744E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1173761,-1562313039] |
[a1,a2,a3,a4,a6] |
Generators |
[2765:127764:1] |
Generators of the group modulo torsion |
j |
-9045718037056/48125390625 |
j-invariant |
L |
2.8849059101387 |
L(r)(E,1)/r! |
Ω |
0.065271766852225 |
Real period |
R |
2.7623983242775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120br2 6240y2 |
Quadratic twists by: -4 13 |