Atkin-Lehner |
2- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
16480d |
Isogeny class |
Conductor |
16480 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-515000000 = -1 · 26 · 57 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -2 -4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30,-1100] |
[a1,a2,a3,a4,a6] |
Generators |
[10:10:1] [15:50:1] |
Generators of the group modulo torsion |
j |
45118016/8046875 |
j-invariant |
L |
5.8915285001869 |
L(r)(E,1)/r! |
Ω |
0.77858150150466 |
Real period |
R |
0.54050020901582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16480c1 32960q1 82400a1 |
Quadratic twists by: -4 8 5 |