Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46930y |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
474240 |
Modular degree for the optimal curve |
Δ |
-27267110462325500 = -1 · 22 · 53 · 132 · 199 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41583,-8578573] |
[a1,a2,a3,a4,a6] |
Generators |
[1309478138758921797:13833430600842714052:3981198362764771] |
Generators of the group modulo torsion |
j |
-24642171/84500 |
j-invariant |
L |
8.7530796396451 |
L(r)(E,1)/r! |
Ω |
0.15361646891829 |
Real period |
R |
28.490043096524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46930b1 |
Quadratic twists by: -19 |