Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48400bh |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-7726522993868800 = -1 · 217 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33275,4831530] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1568:1] [-121:2662:1] |
Generators of the group modulo torsion |
j |
-16875/32 |
j-invariant |
L |
8.7152503960964 |
L(r)(E,1)/r! |
Ω |
0.37145438821234 |
Real period |
R |
2.9328131099889 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050v1 48400ct1 48400bg1 |
Quadratic twists by: -4 5 -11 |