Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fx |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
136604160000 = 212 · 32 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7705,262297] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-165:1] |
Generators of the group modulo torsion |
j |
12352022024896/33350625 |
j-invariant |
L |
6.5368590619826 |
L(r)(E,1)/r! |
Ω |
1.0398926607188 |
Real period |
R |
0.78576127459865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002639 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920he2 36960r1 |
Quadratic twists by: -4 8 |