Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960u |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
520 |
Product of Tamagawa factors cp |
Δ |
-1.6210231980039E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29967096,-203751340020] |
[a1,a2,a3,a4,a6] |
j |
-5812831620646274843204552/31660609336013531671875 |
j-invariant |
L |
3.7704328587169 |
L(r)(E,1)/r! |
Ω |
0.029003329682452 |
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 |
36960a2 73920fp2 110880dr2 |
Quadratic twists by: -4 8 -3 |