Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770bn |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
116160 |
Modular degree for the optimal curve |
Δ |
-7080175781250 = -1 · 2 · 3 · 511 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6673,-246322] |
[a1,a2,a3,a4,a6] |
Generators |
[534:11920:1] |
Generators of the group modulo torsion |
j |
-14954209842853/3222656250 |
j-invariant |
L |
5.6776401715832 |
L(r)(E,1)/r! |
Ω |
0.26110836355474 |
Real period |
R |
0.98838102977558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770co1 |
Quadratic twists by: 13 |