Atkin-Lehner |
2- 3+ 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546be |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-65085539904 = -1 · 26 · 39 · 7 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- 6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,997,1675] |
[a1,a2,a3,a4,a6] |
Generators |
[37:278:1] |
Generators of the group modulo torsion |
j |
5573476917/3306688 |
j-invariant |
L |
10.257450185407 |
L(r)(E,1)/r! |
Ω |
0.67241245398991 |
Real period |
R |
0.63561249526466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84546a1 |
Quadratic twists by: -3 |