Atkin-Lehner |
2+ 3- 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bb |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-6815781126 = -1 · 2 · 37 · 74 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,216,3726] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:36:1] |
Generators of the group modulo torsion |
j |
1524845951/9349494 |
j-invariant |
L |
5.4516096859643 |
L(r)(E,1)/r! |
Ω |
0.96368544567705 |
Real period |
R |
0.35356516685503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27258bi1 |
Quadratic twists by: -3 |