Atkin-Lehner |
13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54587c |
Isogeny class |
Conductor |
54587 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6120576 |
Modular degree for the optimal curve |
Δ |
-4.4748465622406E+21 |
Discriminant |
Eigenvalues |
2 -1 -2 4 0 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19660164,-33700258161] |
[a1,a2,a3,a4,a6] |
Generators |
[772045911490:40726936010949:117649000] |
Generators of the group modulo torsion |
j |
-174110526670532497408/927081755719067 |
j-invariant |
L |
9.2647126370762 |
L(r)(E,1)/r! |
Ω |
0.035837234608754 |
Real period |
R |
14.362331894036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4199b1 |
Quadratic twists by: 13 |