Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690x |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
Δ |
719424201949184000 = 239 · 53 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -3 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-247036,-23938211] |
[a1,a2,a3,a4,a6] |
Generators |
[-2913:34211:27] |
Generators of the group modulo torsion |
j |
4618461843864925849/1992864825344000 |
j-invariant |
L |
15.675773776691 |
L(r)(E,1)/r! |
Ω |
0.22269746805858 |
Real period |
R |
1.8048831934217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104690c2 |
Quadratic twists by: -19 |