Atkin-Lehner |
2+ 3+ 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470i |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.595903630542E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49208247,-83770038891] |
[a1,a2,a3,a4,a6] |
j |
13177632987873514146962382841/4595903630542037975040000 |
j-invariant |
L |
1.8761961443182 |
L(r)(E,1)/r! |
Ω |
0.058631129509943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58410y2 97350cw2 |
Quadratic twists by: -3 5 |