Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778bi |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
56218430619648 = 214 · 35 · 113 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48397,4078097] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-577:1] |
Generators of the group modulo torsion |
j |
9418929422916203/42237739008 |
j-invariant |
L |
13.451710224686 |
L(r)(E,1)/r! |
Ω |
0.63087849216516 |
Real period |
R |
0.30460269496286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74778h1 |
Quadratic twists by: -11 |