Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635b |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-12133839388671875 = -1 · 59 · 7 · 316 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-126211,18095692] |
[a1,a2,a3,a4,a6] |
Generators |
[602:24021:8] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
2.8884106025931 |
L(r)(E,1)/r! |
Ω |
0.39603764319166 |
Real period |
R |
3.6466364400558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35a2 |
Quadratic twists by: -31 |