Atkin-Lehner |
2+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
110960f |
Isogeny class |
Conductor |
110960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2108240 = 24 · 5 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115,510] |
[a1,a2,a3,a4,a6] |
Generators |
[74316:467711:1728] |
Generators of the group modulo torsion |
j |
10603964416/131765 |
j-invariant |
L |
11.421869212865 |
L(r)(E,1)/r! |
Ω |
2.6188629043162 |
Real period |
R |
8.7227698214474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55480c1 |
Quadratic twists by: -4 |