Atkin-Lehner |
5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855j |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-48812702455 = -1 · 5 · 11 · 316 |
Discriminant |
Eigenvalues |
1 0 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,781,-6712] |
[a1,a2,a3,a4,a6] |
Generators |
[622:5455:8] [215160:1738292:3375] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
11.730040751337 |
L(r)(E,1)/r! |
Ω |
0.61829967526247 |
Real period |
R |
18.971448992528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55a4 |
Quadratic twists by: -31 |