Atkin-Lehner |
2- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
44240z |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
736831959879680000 = 215 · 54 · 78 · 792 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-363440,73649600] |
[a1,a2,a3,a4,a6] |
Generators |
[18120:-309680:27] |
Generators of the group modulo torsion |
j |
1296173477277146161/179890615205000 |
j-invariant |
L |
10.162213562595 |
L(r)(E,1)/r! |
Ω |
0.2738632160217 |
Real period |
R |
0.57979523216738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5530l2 |
Quadratic twists by: -4 |