Atkin-Lehner |
2+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
122816d |
Isogeny class |
Conductor |
122816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3175530496 = -1 · 214 · 19 · 1012 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,271,-2191] |
[a1,a2,a3,a4,a6] |
Generators |
[391157520:-2929843259:7414875] |
Generators of the group modulo torsion |
j |
133846832/193819 |
j-invariant |
L |
11.038854756115 |
L(r)(E,1)/r! |
Ω |
0.75231755703863 |
Real period |
R |
14.673131976539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999578032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122816h2 15352b2 |
Quadratic twists by: -4 8 |