Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372o |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3814492002048 = 28 · 32 · 73 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7492,233752] |
[a1,a2,a3,a4,a6] |
Generators |
[13:372:1] |
Generators of the group modulo torsion |
j |
109744/9 |
j-invariant |
L |
5.8189384812071 |
L(r)(E,1)/r! |
Ω |
0.76712345582623 |
Real period |
R |
3.7927001173544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99372bo2 588c2 |
Quadratic twists by: -7 13 |