Atkin-Lehner |
5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13585f |
Isogeny class |
Conductor |
13585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36910445 = 5 · 112 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 2 5+ 2 11+ 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4511,-118496] |
[a1,a2,a3,a4,a6] |
Generators |
[5012:5613:64] |
Generators of the group modulo torsion |
j |
10151920557003889/36910445 |
j-invariant |
L |
4.1773737298481 |
L(r)(E,1)/r! |
Ω |
0.5825469612949 |
Real period |
R |
3.5854394644532 |
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 |
122265bk2 67925e2 |
Quadratic twists by: -3 5 |