Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450dv |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-12203003363148000 = -1 · 25 · 37 · 53 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11975,5341727] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-2250:1] |
Generators of the group modulo torsion |
j |
-2083908933917/133914988896 |
j-invariant |
L |
8.7853697145449 |
L(r)(E,1)/r! |
Ω |
0.33121631885738 |
Real period |
R |
0.44207613092955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150bd2 99450bq2 |
Quadratic twists by: -3 5 |