Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13300g |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1263500000000 = 28 · 59 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116508,15345512] |
[a1,a2,a3,a4,a6] |
Generators |
[863209:2544138:4913] |
Generators of the group modulo torsion |
j |
43725490482256/315875 |
j-invariant |
L |
6.5040349882755 |
L(r)(E,1)/r! |
Ω |
0.77096675650732 |
Real period |
R |
8.4362067928071 |
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 |
53200cj2 119700p2 2660h2 93100k2 |
Quadratic twists by: -4 -3 5 -7 |