Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298cg |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-473885320958074476 = -1 · 22 · 36 · 119 · 413 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11- -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,82741,31807559] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:4420:1] [-41:5344:1] |
Generators of the group modulo torsion |
j |
48507321023/366935404 |
j-invariant |
L |
11.686538738385 |
L(r)(E,1)/r! |
Ω |
0.21542401159841 |
Real period |
R |
3.3905629447834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9922b2 8118i2 |
Quadratic twists by: -3 -11 |