Atkin-Lehner |
2- 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554w |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
3555328 |
Modular degree for the optimal curve |
Δ |
-1.9791897384965E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2968549,-2081990911] |
[a1,a2,a3,a4,a6] |
Generators |
[12946:1452727:1] |
Generators of the group modulo torsion |
j |
-109421116687/7485696 |
j-invariant |
L |
12.253523804194 |
L(r)(E,1)/r! |
Ω |
0.05728268684825 |
Real period |
R |
6.6847880285966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109554s1 |
Quadratic twists by: -31 |