Atkin-Lehner |
2- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
122210r |
Isogeny class |
Conductor |
122210 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
5875200 |
Modular degree for the optimal curve |
Δ |
-814238234095616000 = -1 · 215 · 53 · 117 · 1012 |
Discriminant |
Eigenvalues |
2- -3 5- -3 11- -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1418022,651741621] |
[a1,a2,a3,a4,a6] |
Generators |
[641:-2741:1] [-1015:32827:1] |
Generators of the group modulo torsion |
j |
-177998449962946761/459616256000 |
j-invariant |
L |
10.851960773856 |
L(r)(E,1)/r! |
Ω |
0.283315431988 |
Real period |
R |
0.10639849471734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999964237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110f1 |
Quadratic twists by: -11 |