Atkin-Lehner |
2+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12274b |
Isogeny class |
Conductor |
12274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16533051684544 = 26 · 172 · 197 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 -2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2341333,-1378346955] |
[a1,a2,a3,a4,a6] |
j |
30171143454741297/351424 |
j-invariant |
L |
0.48819546525268 |
L(r)(E,1)/r! |
Ω |
0.12204886631317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98192k2 110466bs2 646d2 |
Quadratic twists by: -4 -3 -19 |