Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
494b |
Isogeny class |
Conductor |
494 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1085318 = 2 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 4 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-206,1190] |
[a1,a2,a3,a4,a6] |
j |
969417177273/1085318 |
j-invariant |
L |
1.3738178096809 |
L(r)(E,1)/r! |
Ω |
2.7476356193618 |
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 |
3952d3 15808h4 4446q3 12350s4 |
Quadratic twists by: -4 8 -3 5 |