Atkin-Lehner |
2- 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398bk |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
392 |
Product of Tamagawa factors cp |
Δ |
105265724522112 = 27 · 314 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16289,628425] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:1183:1] |
Generators of the group modulo torsion |
j |
477978815192585617/105265724522112 |
j-invariant |
L |
7.8681808351573 |
L(r)(E,1)/r! |
Ω |
0.562055136324 |
Real period |
R |
0.14284641195084 |
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 |
107184bj2 40194s2 93786ce2 |
Quadratic twists by: -4 -3 -7 |