Atkin-Lehner |
3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33759i |
Isogeny class |
Conductor |
33759 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.2748342144162E+26 |
Discriminant |
Eigenvalues |
1 3- 2 2 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-271679931,-1134295219238] |
[a1,a2,a3,a4,a6] |
Generators |
[287073281786023060553452971667364:-16171011263468760117673102180207357:14523629082380288451491920192] |
Generators of the group modulo torsion |
j |
1717167849316307276617/563299624074237039 |
j-invariant |
L |
7.7454491545219 |
L(r)(E,1)/r! |
Ω |
0.038160822108404 |
Real period |
R |
50.742153382593 |
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 |
11253a2 3069a2 |
Quadratic twists by: -3 -11 |