Atkin-Lehner |
2+ 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488p |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-969792098236416 = -1 · 211 · 38 · 7 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26211,-2216450] |
[a1,a2,a3,a4,a6] |
Generators |
[422:7866:1] |
Generators of the group modulo torsion |
j |
-1333880743106/649562823 |
j-invariant |
L |
5.4070363963795 |
L(r)(E,1)/r! |
Ω |
0.18335188296954 |
Real period |
R |
3.6862427369935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496ba2 |
Quadratic twists by: -3 |