Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
342c |
Isogeny class |
Conductor |
342 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-617336050482 = -1 · 2 · 38 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3762,97470] |
[a1,a2,a3,a4,a6] |
Generators |
[39:75:1] |
Generators of the group modulo torsion |
j |
-8078253774625/846825858 |
j-invariant |
L |
1.2648109167857 |
L(r)(E,1)/r! |
Ω |
0.89083624899831 |
Real period |
R |
2.129702711707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
2736n4 10944o4 114a4 8550bf4 |
Quadratic twists by: -4 8 -3 5 |