Atkin-Lehner |
2- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41360i |
Isogeny class |
Conductor |
41360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28027283046400 = 222 · 52 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88243,10086258] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:2310:1] |
Generators of the group modulo torsion |
j |
18552590440692489/6842598400 |
j-invariant |
L |
4.5903226361549 |
L(r)(E,1)/r! |
Ω |
0.65304455768572 |
Real period |
R |
3.5145554634317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5170a2 |
Quadratic twists by: -4 |