Atkin-Lehner |
3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37479d |
Isogeny class |
Conductor |
37479 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1349893098801 = 32 · 132 · 316 |
Discriminant |
Eigenvalues |
1 3- 2 -4 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4345,94631] |
[a1,a2,a3,a4,a6] |
Generators |
[10153:594125:2197] |
Generators of the group modulo torsion |
j |
10218313/1521 |
j-invariant |
L |
7.1811699159287 |
L(r)(E,1)/r! |
Ω |
0.82136688431564 |
Real period |
R |
8.7429503831434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112437g2 39a1 |
Quadratic twists by: -3 -31 |