Atkin-Lehner |
2+ 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150j |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-14654750 = -1 · 2 · 53 · 11 · 732 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 11+ -4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14,-182] |
[a1,a2,a3,a4,a6] |
Generators |
[46:53:8] [32:166:1] |
Generators of the group modulo torsion |
j |
2685619/117238 |
j-invariant |
L |
7.4524956843186 |
L(r)(E,1)/r! |
Ω |
1.0650816006993 |
Real period |
R |
1.749278102125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150bf1 |
Quadratic twists by: 5 |