Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330dl |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
10738666229775120 = 24 · 39 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70202,-5120279] |
[a1,a2,a3,a4,a6] |
Generators |
[-1538:9683:8] |
Generators of the group modulo torsion |
j |
16522921323/4637360 |
j-invariant |
L |
10.756447408139 |
L(r)(E,1)/r! |
Ω |
0.29953242870337 |
Real period |
R |
2.2444246385104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330f1 8190bd1 |
Quadratic twists by: -3 -7 |