Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
46200co |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-8558037180000000000 = -1 · 211 · 38 · 510 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-350208,-161898912] |
[a1,a2,a3,a4,a6] |
Generators |
[6282:55377:8] |
Generators of the group modulo torsion |
j |
-237505212050/427901859 |
j-invariant |
L |
8.0532545105505 |
L(r)(E,1)/r! |
Ω |
0.092558349143032 |
Real period |
R |
5.4379579105607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400bc1 46200w1 |
Quadratic twists by: -4 5 |