Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280a |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4260096000000 = 214 · 32 · 56 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21521,1218321] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1419:1] |
Generators of the group modulo torsion |
j |
67283921459536/260015625 |
j-invariant |
L |
4.150069689659 |
L(r)(E,1)/r! |
Ω |
0.78189698554283 |
Real period |
R |
2.653846840693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41280cy2 5160n2 123840ck2 |
Quadratic twists by: -4 8 -3 |