Atkin-Lehner |
2+ 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125504a |
Isogeny class |
Conductor |
125504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-76532363296768 = -1 · 218 · 37 · 534 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8884,270704] |
[a1,a2,a3,a4,a6] |
Generators |
[4571:214605:343] |
Generators of the group modulo torsion |
j |
295807676247/291947797 |
j-invariant |
L |
3.4897834609719 |
L(r)(E,1)/r! |
Ω |
0.40261575300236 |
Real period |
R |
8.6677767832684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999556418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125504e3 1961a4 |
Quadratic twists by: -4 8 |