Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216ba |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
5830614468432 = 24 · 310 · 133 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5160,82807] |
[a1,a2,a3,a4,a6] |
Generators |
[449:9396:1] |
Generators of the group modulo torsion |
j |
1302642688000/499881213 |
j-invariant |
L |
5.4729875537705 |
L(r)(E,1)/r! |
Ω |
0.69108289769895 |
Real period |
R |
3.9597185684902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999799038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24804c1 33072v1 |
Quadratic twists by: -4 -3 |