Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14196f |
Isogeny class |
Conductor |
14196 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
77846775552 = 28 · 32 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6140,-182664] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:18:1] |
Generators of the group modulo torsion |
j |
20720464/63 |
j-invariant |
L |
2.6731191785367 |
L(r)(E,1)/r! |
Ω |
0.53942484850224 |
Real period |
R |
1.6518329265938 |
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 |
56784ct2 42588w2 99372bt2 84b2 |
Quadratic twists by: -4 -3 -7 13 |