Atkin-Lehner |
3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8835c |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.7724934176065E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2147737,361711336] |
[a1,a2,a3,a4,a6] |
Generators |
[-9139763476760:-254302481413217:7529536000] |
Generators of the group modulo torsion |
j |
1095638601820702515154201/577249341760651961025 |
j-invariant |
L |
4.8598797302926 |
L(r)(E,1)/r! |
Ω |
0.143471147822 |
Real period |
R |
16.936784169044 |
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 |
26505d2 44175k2 |
Quadratic twists by: -3 5 |