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 |
-9.6008267141037E+23 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,22385151,23671882030] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:1201451:8] |
Generators of the group modulo torsion |
j |
14463986828816730239/11194194866413125 |
j-invariant |
L |
5.8090308447305 |
L(r)(E,1)/r! |
Ω |
0.056541053535596 |
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 |
22785c5 9765i6 |
Quadratic twists by: -3 -7 |