Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128be |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6263663514732029952 = 211 · 324 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-639184,-155740000] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:3078:1] |
Generators of the group modulo torsion |
j |
14101721225455342754/3058429450552749 |
j-invariant |
L |
5.7811865518675 |
L(r)(E,1)/r! |
Ω |
0.17144884168966 |
Real period |
R |
2.8099667588369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256t4 111384s4 |
Quadratic twists by: -4 -3 |