Atkin-Lehner |
2+ 3- 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934j |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-2.2528604284642E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 5 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,573822,155284884] |
[a1,a2,a3,a4,a6] |
Generators |
[608712:25381959:512] |
Generators of the group modulo torsion |
j |
28663376123061201887/30903435232705152 |
j-invariant |
L |
4.1125095764948 |
L(r)(E,1)/r! |
Ω |
0.14205070919748 |
Real period |
R |
3.6188745577659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978s1 |
Quadratic twists by: -3 |