Atkin-Lehner |
5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635k |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
200808930310296245 = 5 · 72 · 3110 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1274947,553996574] |
[a1,a2,a3,a4,a6] |
Generators |
[-6818:259031:8] |
Generators of the group modulo torsion |
j |
258243633650241/226262645 |
j-invariant |
L |
3.3727917681538 |
L(r)(E,1)/r! |
Ω |
0.31539322374009 |
Real period |
R |
5.3469629565237 |
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 |
1085e3 |
Quadratic twists by: -31 |