Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hf |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-63248102400000000 = -1 · 216 · 3 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,46975,11463423] |
[a1,a2,a3,a4,a6] |
Generators |
[471:11760:1] |
Generators of the group modulo torsion |
j |
1486779836/8203125 |
j-invariant |
L |
7.4995227071898 |
L(r)(E,1)/r! |
Ω |
0.25221588305595 |
Real period |
R |
0.92920430608724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bm3 11760e4 6720bm4 |
Quadratic twists by: -4 8 -7 |