Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646d |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2715648 |
Modular degree for the optimal curve |
Δ |
-1.3743564539157E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -3 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1666428,-846572464] |
[a1,a2,a3,a4,a6] |
Generators |
[115528:39206932:1] |
Generators of the group modulo torsion |
j |
-219256227/5888 |
j-invariant |
L |
2.3241702393341 |
L(r)(E,1)/r! |
Ω |
0.066333779784376 |
Real period |
R |
4.379688361955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998826468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646bo1 119646f1 |
Quadratic twists by: -3 17 |