Atkin-Lehner |
2- 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
127260g |
Isogeny class |
Conductor |
127260 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
5073498281250000 = 24 · 38 · 510 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124248,16505053] |
[a1,a2,a3,a4,a6] |
Generators |
[71972:2306619:64] |
Generators of the group modulo torsion |
j |
18186302945099776/434970703125 |
j-invariant |
L |
6.6603876493033 |
L(r)(E,1)/r! |
Ω |
0.43054683671393 |
Real period |
R |
7.7348003824653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999620668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42420e1 |
Quadratic twists by: -3 |