Atkin-Lehner |
2+ 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270u |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.6242250738049E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3237255,-2222287299] |
[a1,a2,a3,a4,a6] |
Generators |
[297345:7281237:125] |
Generators of the group modulo torsion |
j |
5146677912258698240881/49715021588544000 |
j-invariant |
L |
3.2690120738901 |
L(r)(E,1)/r! |
Ω |
0.11261820001978 |
Real period |
R |
7.2568467470509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bk2 |
Quadratic twists by: -3 |