Atkin-Lehner |
5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51205l |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
6578595618566125 = 53 · 78 · 113 · 193 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 11+ 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1748385,-890397686] |
[a1,a2,a3,a4,a6] |
Generators |
[-48956:4623:64] |
Generators of the group modulo torsion |
j |
102529976072667136/1141166125 |
j-invariant |
L |
5.9791304169002 |
L(r)(E,1)/r! |
Ω |
0.13129269288516 |
Real period |
R |
1.6866839260778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51205c2 |
Quadratic twists by: -7 |