Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656cu |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
65687111143686144 = 215 · 38 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1763624,901985904] |
[a1,a2,a3,a4,a6] |
Generators |
[-611:41846:1] [194:23814:1] |
Generators of the group modulo torsion |
j |
1258907355383833/136311336 |
j-invariant |
L |
8.7920614902274 |
L(r)(E,1)/r! |
Ω |
0.33441396811527 |
Real period |
R |
6.5727379273336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15582m2 17808t2 |
Quadratic twists by: -4 -7 |