Atkin-Lehner |
2- 3- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642cg |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-1.0542792957744E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,254830,491458961] |
[a1,a2,a3,a4,a6] |
Generators |
[-303:19807:1] [-485:16167:1] |
Generators of the group modulo torsion |
j |
2510437676880782375/144619930833251328 |
j-invariant |
L |
16.517665961747 |
L(r)(E,1)/r! |
Ω |
0.14336695032522 |
Real period |
R |
0.10667824847728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214p1 |
Quadratic twists by: -3 |