Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975p |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
114244130109375 = 310 · 56 · 73 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48138,4028517] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:2379:1] |
Generators of the group modulo torsion |
j |
789529529265625/7311624327 |
j-invariant |
L |
3.6123076607963 |
L(r)(E,1)/r! |
Ω |
0.59450262948231 |
Real period |
R |
0.20253948323951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29925ba2 399a2 69825t2 |
Quadratic twists by: -3 5 -7 |