Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074y |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
41697289735668864 = 27 · 38 · 112 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-405827389,-3146903905069] |
[a1,a2,a3,a4,a6] |
Generators |
[41039:7002180:1] |
Generators of the group modulo torsion |
j |
306234591284035366263793/1727485056 |
j-invariant |
L |
4.3824409574922 |
L(r)(E,1)/r! |
Ω |
0.033636764622642 |
Real period |
R |
4.6531154300288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222i4 1122k3 |
Quadratic twists by: -3 17 |