Atkin-Lehner |
2+ 7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568c |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-9299196928 = -1 · 210 · 7 · 172 · 672 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,496,-2032] |
[a1,a2,a3,a4,a6] |
Generators |
[22:138:1] |
Generators of the group modulo torsion |
j |
13152033212/9081247 |
j-invariant |
L |
8.5275692624227 |
L(r)(E,1)/r! |
Ω |
0.73352198541752 |
Real period |
R |
2.9063781911311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63784h1 |
Quadratic twists by: -4 |