Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280d |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
100042958438400 = 224 · 3 · 52 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-318881,-69201375] |
[a1,a2,a3,a4,a6] |
Generators |
[-89937336741:-10994329088:275894451] |
Generators of the group modulo torsion |
j |
13679527032530281/381633600 |
j-invariant |
L |
5.5294243946833 |
L(r)(E,1)/r! |
Ω |
0.20090604640507 |
Real period |
R |
13.761219469559 |
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 |
41280db3 1290g3 123840cp3 |
Quadratic twists by: -4 8 -3 |