Atkin-Lehner |
2- 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040p |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
1535490000 = 24 · 33 · 54 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-331,-1244] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:11:1] |
Generators of the group modulo torsion |
j |
251419592704/95968125 |
j-invariant |
L |
3.349575392406 |
L(r)(E,1)/r! |
Ω |
1.1555923814072 |
Real period |
R |
1.4492893196327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080q1 |
Quadratic twists by: -4 |