Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298p |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-18913383098104968 = -1 · 23 · 38 · 118 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15768,6568744] |
[a1,a2,a3,a4,a6] |
Generators |
[47:2699:1] |
Generators of the group modulo torsion |
j |
335702375/14644872 |
j-invariant |
L |
5.2194901432913 |
L(r)(E,1)/r! |
Ω |
0.29294890152283 |
Real period |
R |
2.227133344839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bi2 8118r2 |
Quadratic twists by: -3 -11 |