Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560bf |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
33211047168000 = 211 · 310 · 53 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68280,6839028] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:1260:1] [66:1620:1] |
Generators of the group modulo torsion |
j |
7824392006186/7381125 |
j-invariant |
L |
10.015762299502 |
L(r)(E,1)/r! |
Ω |
0.652145910977 |
Real period |
R |
0.25596936030512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280j2 121680be2 40560x2 |
Quadratic twists by: -4 -3 13 |