Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208cr |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5.3482953047262E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20410672,-4662087340] |
[a1,a2,a3,a4,a6] |
Generators |
[87980:26061750:1] |
Generators of the group modulo torsion |
j |
5689227966572359/3235735924128 |
j-invariant |
L |
9.366697872845 |
L(r)(E,1)/r! |
Ω |
0.07675614547858 |
Real period |
R |
6.1015947412205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526p2 68208bx2 |
Quadratic twists by: -4 -7 |