Atkin-Lehner |
2- 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104940bc |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
358599656250000 = 24 · 39 · 59 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ -5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18417,308801] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:135:1] [-83:-1125:1] |
Generators of the group modulo torsion |
j |
59228790686464/30744140625 |
j-invariant |
L |
10.29350652694 |
L(r)(E,1)/r! |
Ω |
0.47337268496455 |
Real period |
R |
0.20134293474842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34980g1 |
Quadratic twists by: -3 |