Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025bc |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2487769453125 = 36 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6980,-209478] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:135:1] |
Generators of the group modulo torsion |
j |
3301293169/218405 |
j-invariant |
L |
3.5419781606377 |
L(r)(E,1)/r! |
Ω |
0.52449526954188 |
Real period |
R |
0.8441396820723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5225a2 9405m2 |
Quadratic twists by: -3 5 |