Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128y |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9726614037504 = 210 · 34 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6104,-103716] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:272:1] |
Generators of the group modulo torsion |
j |
24566227961188/9498646521 |
j-invariant |
L |
4.3399113608804 |
L(r)(E,1)/r! |
Ω |
0.55813382598554 |
Real period |
R |
1.9439385138576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74256be2 111384bd2 |
Quadratic twists by: -4 -3 |