Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802cn |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-258392282904 = -1 · 23 · 311 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41,-24447] |
[a1,a2,a3,a4,a6] |
Generators |
[286:951:8] |
Generators of the group modulo torsion |
j |
-208537/7233624 |
j-invariant |
L |
12.184793955407 |
L(r)(E,1)/r! |
Ω |
0.44854937470384 |
Real period |
R |
2.2637407463806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17934i1 53802bt1 |
Quadratic twists by: -3 -7 |