Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832w |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
1914114048 = 212 · 3 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448,3136] |
[a1,a2,a3,a4,a6] |
Generators |
[0:56:1] |
Generators of the group modulo torsion |
j |
2433138625/467313 |
j-invariant |
L |
4.139405623983 |
L(r)(E,1)/r! |
Ω |
1.4044414712289 |
Real period |
R |
0.73684195978604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3927e1 |
Quadratic twists by: -4 |