Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
90246k |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
11031552 |
Modular degree for the optimal curve |
Δ |
-4.8698029881766E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -3 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35519917,81547122152] |
[a1,a2,a3,a4,a6] |
Generators |
[-4445:391598:1] |
Generators of the group modulo torsion |
j |
-1026784744653907139473/1008907331567616 |
j-invariant |
L |
8.142602873782 |
L(r)(E,1)/r! |
Ω |
0.13615004257621 |
Real period |
R |
1.6612805169062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942n1 |
Quadratic twists by: 13 |