Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bf |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.700948420548E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2325380,-3569387128] |
[a1,a2,a3,a4,a6] |
Generators |
[59413446494845:-4051967422685102:11497268593] |
Generators of the group modulo torsion |
j |
-122083727651299441/412703290692825 |
j-invariant |
L |
3.9240206230947 |
L(r)(E,1)/r! |
Ω |
0.056210733056145 |
Real period |
R |
17.452274727915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23925s3 14355d4 |
Quadratic twists by: -3 5 |