Atkin-Lehner |
2+ 3+ 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546a |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-89280576 = -1 · 26 · 33 · 7 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ 6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,111,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-49:1] |
Generators of the group modulo torsion |
j |
5573476917/3306688 |
j-invariant |
L |
5.2837890557336 |
L(r)(E,1)/r! |
Ω |
1.1172066843505 |
Real period |
R |
0.59118302904876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84546be1 |
Quadratic twists by: -3 |