Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680bc |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.5886151695775E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8037241,6333139770] |
[a1,a2,a3,a4,a6] |
Generators |
[-186492:4534215:64] |
Generators of the group modulo torsion |
j |
30502575902160633856/8439378838629725 |
j-invariant |
L |
1.9537987794403 |
L(r)(E,1)/r! |
Ω |
0.115618995827 |
Real period |
R |
8.4492985938427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997016842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28420c3 16240r3 |
Quadratic twists by: -4 -7 |