Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bn |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
710281131210000 = 24 · 32 · 54 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24011,627689] |
[a1,a2,a3,a4,a6] |
j |
13012697849761/6037290000 |
j-invariant |
L |
3.6360070740507 |
L(r)(E,1)/r! |
Ω |
0.45450088410733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7770bb2 |
Quadratic twists by: -7 |