Atkin-Lehner |
3+ 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48807b |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5768598945087 = -1 · 39 · 112 · 174 · 29 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2388,105875] |
[a1,a2,a3,a4,a6] |
j |
76495006125/293075189 |
j-invariant |
L |
2.160983962065 |
L(r)(E,1)/r! |
Ω |
0.54024599063761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48807c2 |
Quadratic twists by: -3 |