Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585bh |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-2568427304821875 = -1 · 36 · 55 · 77 · 372 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -1 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31017,3219655] |
[a1,a2,a3,a4,a6] |
Generators |
[994:9061:8] |
Generators of the group modulo torsion |
j |
-38477541376/29946875 |
j-invariant |
L |
13.864597964156 |
L(r)(E,1)/r! |
Ω |
0.4191767965741 |
Real period |
R |
1.6537888163092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9065c1 11655h1 |
Quadratic twists by: -3 -7 |