Atkin-Lehner |
2- 3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19380i |
Isogeny class |
Conductor |
19380 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
148590874764000000 = 28 · 34 · 56 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1842476,-963046860] |
[a1,a2,a3,a4,a6] |
Generators |
[-785:420:1] [2067:63750:1] |
Generators of the group modulo torsion |
j |
2702025858590172393424/580433104546875 |
j-invariant |
L |
7.2922437830911 |
L(r)(E,1)/r! |
Ω |
0.12958498222314 |
Real period |
R |
14.068458508823 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520be4 58140t4 96900l4 |
Quadratic twists by: -4 -3 5 |