Atkin-Lehner |
2+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6622f |
Isogeny class |
Conductor |
6622 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
5.9647357087494E+21 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18694831,30887928162] |
[a1,a2,a3,a4,a6] |
Generators |
[-1880:244641:1] |
Generators of the group modulo torsion |
j |
722583947450879449598139625/5964735708749358567488 |
j-invariant |
L |
1.8948694978883 |
L(r)(E,1)/r! |
Ω |
0.13525009344135 |
Real period |
R |
1.5566795553618 |
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 |
52976r4 59598bh4 46354i4 72842k4 |
Quadratic twists by: -4 -3 -7 -11 |