Atkin-Lehner |
2- 3+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
13038d |
Isogeny class |
Conductor |
13038 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
89113024981730304 = 210 · 38 · 412 · 534 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-199809,31149951] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:5744:1] |
Generators of the group modulo torsion |
j |
882203927245664539537/89113024981730304 |
j-invariant |
L |
4.6324981209624 |
L(r)(E,1)/r! |
Ω |
0.32988919181303 |
Real period |
R |
2.8085176695258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104304s2 39114e2 |
Quadratic twists by: -4 -3 |