Atkin-Lehner |
3- 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17385h |
Isogeny class |
Conductor |
17385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
123868125 = 32 · 54 · 192 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -2 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-355,-2548] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:13:1] |
Generators of the group modulo torsion |
j |
4948632799921/123868125 |
j-invariant |
L |
4.4884860005233 |
L(r)(E,1)/r! |
Ω |
1.1015365864739 |
Real period |
R |
1.0186874534261 |
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 |
52155f2 86925g2 |
Quadratic twists by: -3 5 |