Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832bf |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-823490293248 = -1 · 29 · 32 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2176,20232] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:126:1] [54:546:1] |
Generators of the group modulo torsion |
j |
2224491881464/1608379479 |
j-invariant |
L |
7.7973762864869 |
L(r)(E,1)/r! |
Ω |
0.56757207089036 |
Real period |
R |
1.7172656756734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20832y4 41664ct3 62496p2 |
Quadratic twists by: -4 8 -3 |