Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gz |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
3080000 = 26 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ -5 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1083,13363] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-5:1] |
Generators of the group modulo torsion |
j |
3515200000/77 |
j-invariant |
L |
3.1445009240486 |
L(r)(E,1)/r! |
Ω |
2.3358402169052 |
Real period |
R |
0.44873230851168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ht1 61600bv1 123200fu1 |
Quadratic twists by: -4 8 5 |