Atkin-Lehner |
3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725l |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-73591875 = -1 · 33 · 54 · 72 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,87,306] |
[a1,a2,a3,a4,a6] |
Generators |
[0:17:1] |
Generators of the group modulo torsion |
j |
116436575/117747 |
j-invariant |
L |
3.0061740415975 |
L(r)(E,1)/r! |
Ω |
1.2800984376606 |
Real period |
R |
0.39139881136835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46725r1 |
Quadratic twists by: 5 |