Atkin-Lehner |
2- 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
129228b |
Isogeny class |
Conductor |
129228 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
352479753538032384 = 28 · 38 · 119 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-595844,-174511896] |
[a1,a2,a3,a4,a6] |
Generators |
[1622:55890:1] |
Generators of the group modulo torsion |
j |
38756809712/583929 |
j-invariant |
L |
2.3281171466628 |
L(r)(E,1)/r! |
Ω |
0.17199378253261 |
Real period |
R |
4.5120181421905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997649149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129228a2 |
Quadratic twists by: -11 |