Atkin-Lehner |
2- 3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126072o |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
-133999659504 = -1 · 24 · 314 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -3 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1263,24671] |
[a1,a2,a3,a4,a6] |
Generators |
[1:153:1] [85:729:1] |
Generators of the group modulo torsion |
j |
-19102326016/11488311 |
j-invariant |
L |
12.019170215168 |
L(r)(E,1)/r! |
Ω |
0.9616175473772 |
Real period |
R |
1.5623636263523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999894284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42024c1 |
Quadratic twists by: -3 |