Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450ba |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-51051414375000 = -1 · 23 · 37 · 57 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5516442,4988348716] |
[a1,a2,a3,a4,a6] |
Generators |
[10822:-3611:8] |
Generators of the group modulo torsion |
j |
-1629871520330191321/4481880 |
j-invariant |
L |
4.3614714927979 |
L(r)(E,1)/r! |
Ω |
0.41735390479483 |
Real period |
R |
2.6125737746351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150bi2 19890u2 |
Quadratic twists by: -3 5 |