Atkin-Lehner |
3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5475b |
Isogeny class |
Conductor |
5475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1336669921875 = 3 · 514 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29525,-1964250] |
[a1,a2,a3,a4,a6] |
Generators |
[-5537398:3708561:54872] |
Generators of the group modulo torsion |
j |
182178192210769/85546875 |
j-invariant |
L |
3.9031987396331 |
L(r)(E,1)/r! |
Ω |
0.36421883642261 |
Real period |
R |
10.716630633305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600by4 16425g3 1095a3 |
Quadratic twists by: -4 -3 5 |