Atkin-Lehner |
2+ 3+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450b |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3153937500 = -1 · 22 · 34 · 56 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,175,2625] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:50:1] |
Generators of the group modulo torsion |
j |
37595375/201852 |
j-invariant |
L |
4.0608021327865 |
L(r)(E,1)/r! |
Ω |
1.0230139413258 |
Real period |
R |
1.9847247277593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3738d1 |
Quadratic twists by: 5 |