Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160i |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
509495184000000 = 210 · 36 · 56 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1881000,-992331648] |
[a1,a2,a3,a4,a6] |
Generators |
[1854:43470:1] |
Generators of the group modulo torsion |
j |
718770712949455716004/497553890625 |
j-invariant |
L |
6.4947493306695 |
L(r)(E,1)/r! |
Ω |
0.12891467396554 |
Real period |
R |
4.1983514695448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25080x2 |
Quadratic twists by: -4 |