Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975u |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11321579986171875 = 36 · 57 · 7 · 734 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66980,-4262228] |
[a1,a2,a3,a4,a6] |
Generators |
[289:530:1] |
Generators of the group modulo torsion |
j |
2917464019569/993938435 |
j-invariant |
L |
4.0804132381948 |
L(r)(E,1)/r! |
Ω |
0.3049670011899 |
Real period |
R |
3.3449629581529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998736356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12775a4 22995h3 |
Quadratic twists by: -3 5 |