Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dc |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
5 |
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] |
j |
-140608000/79947 |
j-invariant |
L |
4.5327735042388 |
L(r)(E,1)/r! |
Ω |
0.90655470012247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63168cl1 31584b1 |
Quadratic twists by: -4 8 |