Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648c |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4484500816896 = 210 · 38 · 192 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4179,20770] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:270:1] |
Generators of the group modulo torsion |
j |
10812181828/6007401 |
j-invariant |
L |
5.2291623962395 |
L(r)(E,1)/r! |
Ω |
0.67151600895222 |
Real period |
R |
1.9467750199141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056294 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58824j2 39216e2 |
Quadratic twists by: -4 -3 |