Atkin-Lehner |
2- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109504p |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
3588227072 = 221 · 29 · 59 |
Discriminant |
Eigenvalues |
2- -2 -2 2 -5 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-929,10207] |
[a1,a2,a3,a4,a6] |
Generators |
[7:64:1] |
Generators of the group modulo torsion |
j |
338608873/13688 |
j-invariant |
L |
3.1160612428622 |
L(r)(E,1)/r! |
Ω |
1.391370357171 |
Real period |
R |
0.55989069663347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998994104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109504b1 27376i1 |
Quadratic twists by: -4 8 |