Atkin-Lehner |
2- 3- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
4242c |
Isogeny class |
Conductor |
4242 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-2566630584 = -1 · 23 · 33 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-601,-6223] |
[a1,a2,a3,a4,a6] |
Generators |
[104:977:1] |
Generators of the group modulo torsion |
j |
-24010007244049/2566630584 |
j-invariant |
L |
5.7040582321003 |
L(r)(E,1)/r! |
Ω |
0.47921788056729 |
Real period |
R |
0.66126940762402 |
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 |
33936c1 12726d1 106050e1 29694j1 |
Quadratic twists by: -4 -3 5 -7 |