Atkin-Lehner |
5- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20405c |
Isogeny class |
Conductor |
20405 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
38917326825636875 = 54 · 72 · 115 · 534 |
Discriminant |
Eigenvalues |
1 -2 5- 7+ 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-848698,-300859347] |
[a1,a2,a3,a4,a6] |
Generators |
[-531:650:1] |
Generators of the group modulo torsion |
j |
67605575286900837455641/38917326825636875 |
j-invariant |
L |
3.3686857465894 |
L(r)(E,1)/r! |
Ω |
0.15729913228926 |
Real period |
R |
1.070789678736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102025f2 |
Quadratic twists by: 5 |