Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5355r |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
71134464515625 = 38 · 56 · 74 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10427,-54574] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:514:1] |
Generators of the group modulo torsion |
j |
171963096231529/97578140625 |
j-invariant |
L |
2.6935556022212 |
L(r)(E,1)/r! |
Ω |
0.51005183567842 |
Real period |
R |
0.44007873543521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680fg2 1785j2 26775t2 37485u2 |
Quadratic twists by: -4 -3 5 -7 |