Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372bd |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
140292197136 = 24 · 32 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1486,12221] |
[a1,a2,a3,a4,a6] |
Generators |
[65:441:1] |
Generators of the group modulo torsion |
j |
23296/9 |
j-invariant |
L |
6.7330087842291 |
L(r)(E,1)/r! |
Ω |
0.94226855123849 |
Real period |
R |
1.1909217686594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372h1 99372bb1 |
Quadratic twists by: -7 13 |