Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9570bd |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-7751700000 = -1 · 25 · 35 · 55 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-220,4400] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:40:1] |
Generators of the group modulo torsion |
j |
-1177918188481/7751700000 |
j-invariant |
L |
7.7223561637705 |
L(r)(E,1)/r! |
Ω |
1.133925400756 |
Real period |
R |
1.3620571791799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
76560bk1 28710h1 47850m1 105270bd1 |
Quadratic twists by: -4 -3 5 -11 |