Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355bi |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.3644611289035E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6555474,3187707655] |
[a1,a2,a3,a4,a6] |
Generators |
[-2194:84797:1] |
Generators of the group modulo torsion |
j |
363262258500719761/159090922265625 |
j-invariant |
L |
5.8090308447305 |
L(r)(E,1)/r! |
Ω |
0.11308210707119 |
Real period |
R |
1.6053133302704 |
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 |
22785c3 9765i4 |
Quadratic twists by: -3 -7 |