Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cl |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5116608 = -1 · 26 · 35 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -5 2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43,169] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] |
Generators of the group modulo torsion |
j |
-140608000/79947 |
j-invariant |
L |
4.7393182386262 |
L(r)(E,1)/r! |
Ω |
2.2489798715001 |
Real period |
R |
2.1073190999485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63168dc1 31584m1 |
Quadratic twists by: -4 8 |