Atkin-Lehner |
7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4123c |
Isogeny class |
Conductor |
4123 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-70087408867 = -1 · 73 · 193 · 313 |
Discriminant |
Eigenvalues |
0 -2 0 7- -6 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1293,21540] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:199:1] [18:66:1] |
Generators of the group modulo torsion |
j |
-239251750912000/70087408867 |
j-invariant |
L |
2.9989739493529 |
L(r)(E,1)/r! |
Ω |
1.0386591562517 |
Real period |
R |
0.962450460385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65968h2 37107o2 103075g2 28861d2 |
Quadratic twists by: -4 -3 5 -7 |