Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bx |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-548171044512000000 = -1 · 211 · 3 · 56 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-215608,52404788] |
[a1,a2,a3,a4,a6] |
Generators |
[343:4350:1] |
Generators of the group modulo torsion |
j |
-34639400027234/17130345141 |
j-invariant |
L |
9.9988966621188 |
L(r)(E,1)/r! |
Ω |
0.27215515181874 |
Real period |
R |
4.592461582111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000117251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600d5 4368d6 |
Quadratic twists by: -4 5 |