Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930m |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-244956761958968000 = -1 · 26 · 53 · 17 · 239 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,40457,23608858] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-6175:1] |
Generators of the group modulo torsion |
j |
49471280711/1654712000 |
j-invariant |
L |
4.2387205560181 |
L(r)(E,1)/r! |
Ω |
0.23559481502618 |
Real period |
R |
0.7496487408278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910b2 |
Quadratic twists by: -23 |