Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dq |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-3760512417792 = -1 · 214 · 310 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3887,3887] |
[a1,a2,a3,a4,a6] |
Generators |
[26:351:1] |
Generators of the group modulo torsion |
j |
396310574000/229523463 |
j-invariant |
L |
7.169643500272 |
L(r)(E,1)/r! |
Ω |
0.47133330504115 |
Real period |
R |
0.76057043108917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408s1 14352b1 |
Quadratic twists by: -4 8 |