Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640ck |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
7.5433248759439E+24 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -6 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91659347,-310842505454] |
[a1,a2,a3,a4,a6] |
Generators |
[-5588626044806211:-118559546428375040:892778165189] |
Generators of the group modulo torsion |
j |
4307585705106105969/381542350192640 |
j-invariant |
L |
4.3075481423597 |
L(r)(E,1)/r! |
Ω |
0.04906874495894 |
Real period |
R |
21.946496380608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830m1 7280r1 |
Quadratic twists by: -4 13 |