Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766s |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
67247584348817664 = 28 · 36 · 118 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-195902,30937520] |
[a1,a2,a3,a4,a6] |
Generators |
[-459:5149:1] |
Generators of the group modulo torsion |
j |
469332926706097/37959508224 |
j-invariant |
L |
4.9643182545207 |
L(r)(E,1)/r! |
Ω |
0.33975416942823 |
Real period |
R |
2.4352501019954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89298cr2 2706r2 |
Quadratic twists by: -3 -11 |