Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648x |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
1577579328 = 26 · 38 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 0 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1353,-19060] |
[a1,a2,a3,a4,a6] |
Generators |
[55:270:1] |
Generators of the group modulo torsion |
j |
5870966464/33813 |
j-invariant |
L |
7.367603050246 |
L(r)(E,1)/r! |
Ω |
0.78745497498206 |
Real period |
R |
2.3390553377178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648n1 127296p2 21216c1 |
Quadratic twists by: -4 8 -3 |