Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bi |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.1214984370082E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16618370,-25568587069] |
[a1,a2,a3,a4,a6] |
Generators |
[3901652422811242218:379963190037658880759:346510508721272] |
Generators of the group modulo torsion |
j |
4703210486403625/103921194078 |
j-invariant |
L |
13.717137024514 |
L(r)(E,1)/r! |
Ω |
0.074874932242703 |
Real period |
R |
22.900082615589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999985699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262m2 5382j2 |
Quadratic twists by: -3 -23 |