Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355bi |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.0018353512532E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5583069,5076701608] |
[a1,a2,a3,a4,a6] |
Generators |
[-7418:781633:8] |
Generators of the group modulo torsion |
j |
224402129131602241/116810150625 |
j-invariant |
L |
5.8090308447305 |
L(r)(E,1)/r! |
Ω |
0.22616421414238 |
Real period |
R |
3.2106266605408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22785c2 9765i2 |
Quadratic twists by: -3 -7 |