Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328bp |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
53851392 = 28 · 34 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268,-1744] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6:1] |
Generators of the group modulo torsion |
j |
170338000/4293 |
j-invariant |
L |
7.5652367663869 |
L(r)(E,1)/r! |
Ω |
1.1814037933001 |
Real period |
R |
0.40022497013575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656m1 62328z1 |
Quadratic twists by: -4 -7 |