Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042b |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-64300590354 = -1 · 2 · 3 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11+ 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10511,410607] |
[a1,a2,a3,a4,a6] |
Generators |
[63:27:1] |
Generators of the group modulo torsion |
j |
-22281070777/11154 |
j-invariant |
L |
4.3128485858036 |
L(r)(E,1)/r! |
Ω |
1.0886605385665 |
Real period |
R |
1.9808050503437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126em1 42042bg1 |
Quadratic twists by: -3 -7 |