Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550ca |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-279416375000 = -1 · 23 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19013,-1010983] |
[a1,a2,a3,a4,a6] |
Generators |
[350324:119413:2197] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
10.410604017481 |
L(r)(E,1)/r! |
Ω |
0.20328119329931 |
Real period |
R |
8.5354707015325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1862b1 950e1 |
Quadratic twists by: 5 -7 |