Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230q |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-16818977211220080 = -1 · 24 · 318 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,49860,-4547840] |
[a1,a2,a3,a4,a6] |
j |
18803907527146559/23071299329520 |
j-invariant |
L |
1.6735818761579 |
L(r)(E,1)/r! |
Ω |
0.20919773451974 |
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 |
7410r4 111150ef3 |
Quadratic twists by: -3 5 |