Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9300d |
Isogeny class |
Conductor |
9300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20339100000000 = 28 · 38 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7508,127512] |
[a1,a2,a3,a4,a6] |
Generators |
[97:550:1] |
Generators of the group modulo torsion |
j |
11702923216/5084775 |
j-invariant |
L |
3.9311570133593 |
L(r)(E,1)/r! |
Ω |
0.6156117183354 |
Real period |
R |
3.1928867630956 |
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 |
37200cv2 27900l2 1860c2 |
Quadratic twists by: -4 -3 5 |