Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200bo |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-10547200000000 = -1 · 218 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 2 5- 1 0 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3792,-129088] |
[a1,a2,a3,a4,a6] |
Generators |
[984:6400:27] |
Generators of the group modulo torsion |
j |
3767855/6592 |
j-invariant |
L |
9.3830990674943 |
L(r)(E,1)/r! |
Ω |
0.37881064164887 |
Real period |
R |
2.0641577514498 |
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 |
5150t1 41200bi1 |
Quadratic twists by: -4 5 |