Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128h |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
21813867376793856 = 28 · 36 · 72 · 134 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456092,118191840] |
[a1,a2,a3,a4,a6] |
Generators |
[520:4680:1] |
Generators of the group modulo torsion |
j |
40986616004177118928/85210419440601 |
j-invariant |
L |
8.2513590292543 |
L(r)(E,1)/r! |
Ω |
0.38254951723836 |
Real period |
R |
1.7974490136643 |
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 |
74256p2 111384bw2 |
Quadratic twists by: -4 -3 |