Atkin-Lehner |
2- 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38760u |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3894059059200 = -1 · 211 · 36 · 52 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1840,100300] |
[a1,a2,a3,a4,a6] |
j |
-336576071522/1901396025 |
j-invariant |
L |
2.7115557277592 |
L(r)(E,1)/r! |
Ω |
0.67788893195033 |
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 |
77520bc2 116280g2 |
Quadratic twists by: -4 -3 |