Atkin-Lehner |
2- 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774ce |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
119527896571776 = 27 · 310 · 7 · 11 · 593 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -7 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21443,1093443] |
[a1,a2,a3,a4,a6] |
Generators |
[41:510:1] |
Generators of the group modulo torsion |
j |
1495663284827881/163961449344 |
j-invariant |
L |
8.558198730161 |
L(r)(E,1)/r! |
Ω |
0.57107198513803 |
Real period |
R |
0.35681427495053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27258f1 |
Quadratic twists by: -3 |