Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760k |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
1872799028784000000 = 210 · 310 · 56 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42277896,-105821989920] |
[a1,a2,a3,a4,a6] |
j |
8161384973019235023447076/1828905301546875 |
j-invariant |
L |
3.5524049661404 |
L(r)(E,1)/r! |
Ω |
0.059206749436167 |
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 |
77520g2 116280bv2 |
Quadratic twists by: -4 -3 |