Atkin-Lehner |
3- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
107991d |
Isogeny class |
Conductor |
107991 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9854208 |
Modular degree for the optimal curve |
Δ |
-4.2963522088295E+23 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32324324,77455797878] |
[a1,a2,a3,a4,a6] |
Generators |
[-3577362105347208:299900659940717498:812949929037] |
Generators of the group modulo torsion |
j |
-483163762035709/55575346347 |
j-invariant |
L |
4.2310884833809 |
L(r)(E,1)/r! |
Ω |
0.091616155421225 |
Real period |
R |
23.091388739748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999149993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35997c1 107991f1 |
Quadratic twists by: -3 13 |