Atkin-Lehner |
2+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120k |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-5542248448000 = -1 · 222 · 53 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812,-113616] |
[a1,a2,a3,a4,a6] |
Generators |
[333:6045:1] |
Generators of the group modulo torsion |
j |
-225866529/21142000 |
j-invariant |
L |
6.2830644650171 |
L(r)(E,1)/r! |
Ω |
0.33672589840912 |
Real period |
R |
3.109880819057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120bn1 3410c1 |
Quadratic twists by: -4 8 |