Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350ci |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
Δ |
-1356672794624000000 = -1 · 235 · 56 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1893855,1005192647] |
[a1,a2,a3,a4,a6] |
Generators |
[915:5686:1] |
Generators of the group modulo torsion |
j |
-133179212896925841/240518168576 |
j-invariant |
L |
7.4817290976269 |
L(r)(E,1)/r! |
Ω |
0.27086719825897 |
Real period |
R |
0.78918262275276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5054a2 126350c2 |
Quadratic twists by: 5 -19 |