Atkin-Lehner |
3+ 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8835f |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2070703125 = 32 · 58 · 19 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28285,1819190] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-27:1] |
Generators of the group modulo torsion |
j |
2502610261593852241/2070703125 |
j-invariant |
L |
2.5514451402294 |
L(r)(E,1)/r! |
Ω |
1.2252957411029 |
Real period |
R |
0.5205774113629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26505f4 44175l4 |
Quadratic twists by: -3 5 |