Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200ft |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
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 |
[-17254:653625:8] |
Generators of the group modulo torsion |
j |
18084500649301589056/23210674146275 |
j-invariant |
L |
9.3371396003896 |
L(r)(E,1)/r! |
Ω |
0.21316095304602 |
Real period |
R |
5.4754045100905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200ey1 61600s2 24640bd1 |
Quadratic twists by: -4 8 5 |