Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4275g |
Isogeny class |
Conductor |
4275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5204269775390625 = 310 · 512 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86067,9099216] |
[a1,a2,a3,a4,a6] |
j |
6189976379881/456890625 |
j-invariant |
L |
0.8429111105202 |
L(r)(E,1)/r! |
Ω |
0.4214555552601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68400fr2 1425h2 855a2 81225bg2 |
Quadratic twists by: -4 -3 5 -19 |