Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920k |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
121275000000 = 26 · 32 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6676,-207074] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:14:1] [95:84:1] |
Generators of the group modulo torsion |
j |
514230431000896/1894921875 |
j-invariant |
L |
8.704624498986 |
L(r)(E,1)/r! |
Ω |
0.52827650764321 |
Real period |
R |
8.2387011091941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ci1 36960ba3 |
Quadratic twists by: -4 8 |