Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bm |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24787589110824960 = 217 · 38 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2054145,1133828865] |
[a1,a2,a3,a4,a6] |
Generators |
[5755233:3702348:6859] |
Generators of the group modulo torsion |
j |
62161150998242/1607445 |
j-invariant |
L |
5.6453596758153 |
L(r)(E,1)/r! |
Ω |
0.35064672070973 |
Real period |
R |
8.0499250989529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040hf6 5880bf5 6720q5 |
Quadratic twists by: -4 8 -7 |