Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648d |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9.467679021531E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 0 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,154437,-467561270] |
[a1,a2,a3,a4,a6] |
Generators |
[168130:5827626:125] |
Generators of the group modulo torsion |
j |
272847702750478/63414130963401 |
j-invariant |
L |
11.471447247502 |
L(r)(E,1)/r! |
Ω |
0.089448327348594 |
Real period |
R |
8.0154148333388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58824k2 39216f2 |
Quadratic twists by: -4 -3 |