Atkin-Lehner |
3+ 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8835f |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17562875625 = 34 · 54 · 192 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1780,27452] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:241:1] |
Generators of the group modulo torsion |
j |
623733353421121/17562875625 |
j-invariant |
L |
2.5514451402294 |
L(r)(E,1)/r! |
Ω |
1.2252957411029 |
Real period |
R |
1.0411548227258 |
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 |
26505f2 44175l2 |
Quadratic twists by: -3 5 |