Atkin-Lehner |
3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585h |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
761015497725 = 33 · 52 · 77 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 2 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137087,-19501926] |
[a1,a2,a3,a4,a6] |
j |
89692794502947/239575 |
j-invariant |
L |
1.9849099141909 |
L(r)(E,1)/r! |
Ω |
0.24811373339633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585d2 11655a2 |
Quadratic twists by: -3 -7 |