Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966bb |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-19974078420912 = -1 · 24 · 36 · 73 · 115 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34214,2453861] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-173:1] |
Generators of the group modulo torsion |
j |
-6075693217857817/27399284528 |
j-invariant |
L |
9.8314292628465 |
L(r)(E,1)/r! |
Ω |
0.68770717506338 |
Real period |
R |
0.71479763621329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774a1 |
Quadratic twists by: -3 |