Atkin-Lehner |
3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63897k |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
27054815924313 = 33 · 198 · 59 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14267,-607488] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:202:1] |
Generators of the group modulo torsion |
j |
6826561273/575073 |
j-invariant |
L |
4.7745820504109 |
L(r)(E,1)/r! |
Ω |
0.43917617767778 |
Real period |
R |
3.6238927131352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363b1 |
Quadratic twists by: -19 |