Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168ci |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
336216213946368 = 228 · 34 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2446113,1473341121] |
[a1,a2,a3,a4,a6] |
Generators |
[-1400:46389:1] |
Generators of the group modulo torsion |
j |
6174666627902151625/1282563072 |
j-invariant |
L |
5.0091378791583 |
L(r)(E,1)/r! |
Ω |
0.42835643896871 |
Real period |
R |
5.8469272589309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168ba2 15792bd2 |
Quadratic twists by: -4 8 |