Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600eb |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-6052916160000000 = -1 · 212 · 39 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27075,4117250] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-1550:1] |
Generators of the group modulo torsion |
j |
-47045881/129735 |
j-invariant |
L |
6.2534295596919 |
L(r)(E,1)/r! |
Ω |
0.374784196652 |
Real period |
R |
1.0428383864687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6975i1 37200bn1 22320bh1 |
Quadratic twists by: -4 -3 5 |