Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200dx |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
852480 |
Modular degree for the optimal curve |
Δ |
-3573048000000000 = -1 · 212 · 3 · 59 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,-2876037] |
[a1,a2,a3,a4,a6] |
Generators |
[149:636:1] |
Generators of the group modulo torsion |
j |
-512/446631 |
j-invariant |
L |
4.505055965677 |
L(r)(E,1)/r! |
Ω |
0.20331421639023 |
Real period |
R |
1.8465080083759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200cv1 127200q1 |
Quadratic twists by: -4 5 |