Atkin-Lehner |
5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635k |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
793023726698534555 = 5 · 78 · 317 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-842497,-294335786] |
[a1,a2,a3,a4,a6] |
Generators |
[466872007472970:-17491810268104501:246491883000] |
Generators of the group modulo torsion |
j |
74517479217441/893544155 |
j-invariant |
L |
3.3727917681538 |
L(r)(E,1)/r! |
Ω |
0.15769661187004 |
Real period |
R |
21.387851826096 |
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 |
1085e4 |
Quadratic twists by: -31 |