Atkin-Lehner |
2+ 3- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990bg |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-199963533600 = -1 · 25 · 311 · 52 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 5 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11484,-471312] |
[a1,a2,a3,a4,a6] |
Generators |
[867:24879:1] |
Generators of the group modulo torsion |
j |
-229771948621249/274298400 |
j-invariant |
L |
6.5614754253321 |
L(r)(E,1)/r! |
Ω |
0.23057563141668 |
Real period |
R |
3.5571166567343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330be1 |
Quadratic twists by: -3 |