Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950hr |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
232328906250 = 2 · 3 · 58 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139938,20137242] |
[a1,a2,a3,a4,a6] |
j |
56547934727887/43350 |
j-invariant |
L |
6.596576058801 |
L(r)(E,1)/r! |
Ω |
0.82457184087637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990o2 124950gb2 |
Quadratic twists by: 5 -7 |