Atkin-Lehner |
2+ 3+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
4242a |
Isogeny class |
Conductor |
4242 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-7601664 = -1 · 29 · 3 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 6 -6 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21,-147] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] |
Generators of the group modulo torsion |
j |
-1102302937/7601664 |
j-invariant |
L |
2.8374687931944 |
L(r)(E,1)/r! |
Ω |
0.98426417355936 |
Real period |
R |
1.4414162728962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33936g1 12726j1 106050cb1 29694g1 |
Quadratic twists by: -4 -3 5 -7 |