Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168ba |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
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 |
[-1764068625:-29746176:1953125] |
Generators of the group modulo torsion |
j |
6174666627902151625/1282563072 |
j-invariant |
L |
8.438089905305 |
L(r)(E,1)/r! |
Ω |
0.12072033067076 |
Real period |
R |
8.7372295309686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168ci2 1974a2 |
Quadratic twists by: -4 8 |