Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200w |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
137250000 = 24 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-483,-4212] |
[a1,a2,a3,a4,a6] |
Generators |
[308:5400:1] |
Generators of the group modulo torsion |
j |
49948672/549 |
j-invariant |
L |
8.4812606132537 |
L(r)(E,1)/r! |
Ω |
1.0188876280211 |
Real period |
R |
4.1620196283457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600u1 2928b1 |
Quadratic twists by: -4 5 |