Atkin-Lehner |
2- 3+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690m |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
36987020864010000 = 24 · 34 · 54 · 78 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93400,-5962615] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:1635:1] |
Generators of the group modulo torsion |
j |
90108265795628169601/36987020864010000 |
j-invariant |
L |
6.9409383933161 |
L(r)(E,1)/r! |
Ω |
0.28311646285939 |
Real period |
R |
3.0645243671168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
56070l2 93450bc2 |
Quadratic twists by: -3 5 |