Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600ck |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-74423024268750000 = -1 · 24 · 34 · 58 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -1 -5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192833,-35072088] |
[a1,a2,a3,a4,a6] |
Generators |
[261416:133658568:1] |
Generators of the group modulo torsion |
j |
-126879079874560/11907683883 |
j-invariant |
L |
2.5780459421363 |
L(r)(E,1)/r! |
Ω |
0.11330838337827 |
Real period |
R |
11.376236537987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900n1 51600dn1 |
Quadratic twists by: -4 5 |