Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710co |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.8512317658549E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26663986,52587017660] |
[a1,a2,a3,a4,a6] |
Generators |
[3266:16880:1] |
Generators of the group modulo torsion |
j |
1183430669265454849849/10449720703125000 |
j-invariant |
L |
10.407170244552 |
L(r)(E,1)/r! |
Ω |
0.12304879915652 |
Real period |
R |
2.3493773553969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610n4 |
Quadratic twists by: -11 |