Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928r |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36459085824 = 215 · 33 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6156,185680] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:609:1] |
Generators of the group modulo torsion |
j |
29161230552/41209 |
j-invariant |
L |
6.5268113995035 |
L(r)(E,1)/r! |
Ω |
1.155462055534 |
Real period |
R |
1.4121648163874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999287872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928j2 58464s2 116928m2 |
Quadratic twists by: -4 8 -3 |