Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5512b |
Isogeny class |
Conductor |
5512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
705536 = 210 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14699,-685930] |
[a1,a2,a3,a4,a6] |
Generators |
[-1243805408125630:-602542184706:17769364807375] |
Generators of the group modulo torsion |
j |
342994475602692/689 |
j-invariant |
L |
4.4093748630966 |
L(r)(E,1)/r! |
Ω |
0.433588352537 |
Real period |
R |
20.338991291148 |
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 |
11024b3 44096a4 49608q4 71656g4 |
Quadratic twists by: -4 8 -3 13 |