Atkin-Lehner |
2+ 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072d |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2035494912 = 212 · 3 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 11- 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1985,34641] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-44:1] [-23:260:1] |
Generators of the group modulo torsion |
j |
211282762816/496947 |
j-invariant |
L |
5.3844097542186 |
L(r)(E,1)/r! |
Ω |
1.47528695345 |
Real period |
R |
0.91243431347812 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072e2 78144cv1 117216bc2 |
Quadratic twists by: -4 8 -3 |