Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850bk |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
120892068000000 = 28 · 33 · 56 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14851,-454402] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:509:1] |
Generators of the group modulo torsion |
j |
23180817201697/7737092352 |
j-invariant |
L |
5.9357568029931 |
L(r)(E,1)/r! |
Ω |
0.44408788649283 |
Real period |
R |
0.74256532740869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914l1 |
Quadratic twists by: 5 |