Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720bc |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
115879559040000 = 210 · 34 · 54 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23536,-1281860] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:300:1] [-71:162:1] |
Generators of the group modulo torsion |
j |
11968836484/961875 |
j-invariant |
L |
9.6031904164464 |
L(r)(E,1)/r! |
Ω |
0.38741325397504 |
Real period |
R |
6.1969939841675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2280j3 |
Quadratic twists by: -7 |