Atkin-Lehner |
3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24225b |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
541452227431640625 = 312 · 510 · 172 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-209500,10346875] |
[a1,a2,a3,a4,a6] |
j |
65081717751683521/34652942555625 |
j-invariant |
L |
2.0476179802752 |
L(r)(E,1)/r! |
Ω |
0.25595224753441 |
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 |
72675bf2 4845h2 |
Quadratic twists by: -3 5 |