Atkin-Lehner |
2+ 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850d |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-9738527700 = -1 · 22 · 3 · 52 · 113 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-270,-5160] |
[a1,a2,a3,a4,a6] |
Generators |
[26:66:1] |
Generators of the group modulo torsion |
j |
-87576150865/389541108 |
j-invariant |
L |
3.5446883980659 |
L(r)(E,1)/r! |
Ω |
0.53441427952533 |
Real period |
R |
3.3164237314289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850cv2 |
Quadratic twists by: 5 |