Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450f |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
21649062500 = 22 · 57 · 13 · 732 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,-16000] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:215:8] |
Generators of the group modulo torsion |
j |
13841287201/1385540 |
j-invariant |
L |
4.7621263786739 |
L(r)(E,1)/r! |
Ω |
0.80801291762405 |
Real period |
R |
2.9468132716639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490l1 |
Quadratic twists by: 5 |