Atkin-Lehner |
2- 3+ 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bi |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
10174464 |
Modular degree for the optimal curve |
Δ |
4.8655735733583E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31339334,66696498901] |
[a1,a2,a3,a4,a6] |
Generators |
[713:211099:1] |
Generators of the group modulo torsion |
j |
172942485164772591086811/2471967471096037376 |
j-invariant |
L |
11.331250784763 |
L(r)(E,1)/r! |
Ω |
0.11327965687787 |
Real period |
R |
0.69464583253154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774b1 |
Quadratic twists by: -3 |