Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ey |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4177920 |
Modular degree for the optimal curve |
Δ |
2.3210674146275E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5468408,-4918338062] |
[a1,a2,a3,a4,a6] |
Generators |
[3113:90750:1] |
Generators of the group modulo torsion |
j |
18084500649301589056/23210674146275 |
j-invariant |
L |
3.072582091437 |
L(r)(E,1)/r! |
Ω |
0.098734240930437 |
Real period |
R |
3.1119722068561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998536458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200ft1 61600d2 24640bp1 |
Quadratic twists by: -4 8 5 |