Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300be |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2.5697719630057E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13494975,-15190835875] |
[a1,a2,a3,a4,a6] |
Generators |
[1755138384122406748076123448929466748:264990018698310795804960770761851223323:78995467461517982757355055981023] |
Generators of the group modulo torsion |
j |
1491325446082364672/1410025768453071 |
j-invariant |
L |
6.229952956389 |
L(r)(E,1)/r! |
Ω |
0.053746924501393 |
Real period |
R |
57.956366938052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100e2 2772k2 |
Quadratic twists by: -3 5 |