Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9200z |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-4600000000000 = -1 · 212 · 511 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -2 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2800,86000] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:625:8] |
Generators of the group modulo torsion |
j |
37933056/71875 |
j-invariant |
L |
4.2459603103159 |
L(r)(E,1)/r! |
Ω |
0.53259275286134 |
Real period |
R |
1.9930614374231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
575b1 36800cm1 82800da1 1840e1 |
Quadratic twists by: -4 8 -3 5 |