Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450w |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
35891186362200 = 23 · 37 · 52 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83547,9311341] |
[a1,a2,a3,a4,a6] |
Generators |
[1134:3827:8] |
Generators of the group modulo torsion |
j |
3538764637823065/1969338072 |
j-invariant |
L |
5.3566241741275 |
L(r)(E,1)/r! |
Ω |
0.64364916417832 |
Real period |
R |
2.0805682927467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150be2 99450dt2 |
Quadratic twists by: -3 5 |