Atkin-Lehner |
2- 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520bx |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
141938452707840000 = 212 · 312 · 54 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134080,-5297600] |
[a1,a2,a3,a4,a6] |
j |
65081717751683521/34652942555625 |
j-invariant |
L |
2.120892991519 |
L(r)(E,1)/r! |
Ω |
0.26511162553825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4845h2 |
Quadratic twists by: -4 |