Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170bd |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3.815955977341E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-316949738,1958061258281] |
[a1,a2,a3,a4,a6] |
Generators |
[22281:2429551:1] |
Generators of the group modulo torsion |
j |
4830225138547209834973075801/523450751349937500000000 |
j-invariant |
L |
10.439036697425 |
L(r)(E,1)/r! |
Ω |
0.051859759502954 |
Real period |
R |
2.0968081348739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390e2 |
Quadratic twists by: -3 |