Atkin-Lehner |
2- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
104060s |
Isogeny class |
Conductor |
104060 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
538560 |
Modular degree for the optimal curve |
Δ |
7373945506400000 = 28 · 55 · 118 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11- 0 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49247,790614] |
[a1,a2,a3,a4,a6] |
Generators |
[278:2930:1] |
Generators of the group modulo torsion |
j |
240703056/134375 |
j-invariant |
L |
8.3294363569602 |
L(r)(E,1)/r! |
Ω |
0.36174763457277 |
Real period |
R |
4.6051089437388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104060o1 |
Quadratic twists by: -11 |