Atkin-Lehner |
2+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680c |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12343296 |
Modular degree for the optimal curve |
Δ |
5.1193237304687E+25 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 11+ 5 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94701376,-85534798624] |
[a1,a2,a3,a4,a6] |
Generators |
[-2375906417364:236401367187500:458314011] |
Generators of the group modulo torsion |
j |
45863018250216194236277378/24996697902679443359375 |
j-invariant |
L |
4.1920018645376 |
L(r)(E,1)/r! |
Ω |
0.051653338993436 |
Real period |
R |
10.14455683366 |
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 |
26840e1 |
Quadratic twists by: -4 |