Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bi |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
-6.4707150717494E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,92740,-1223842021] |
[a1,a2,a3,a4,a6] |
Generators |
[92304913218:2568543360139:66923416] |
Generators of the group modulo torsion |
j |
817400375/5995946268 |
j-invariant |
L |
13.717137024514 |
L(r)(E,1)/r! |
Ω |
0.074874932242703 |
Real period |
R |
11.450041307795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999642476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262m1 5382j1 |
Quadratic twists by: -3 -23 |