Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40656c |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-2.7624761563905E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 11+ 3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1256908,2469488991] |
[a1,a2,a3,a4,a6] |
Generators |
[11916814515:-815446971449:2803221] |
Generators of the group modulo torsion |
j |
5820759945472/73222472421 |
j-invariant |
L |
3.1553067534463 |
L(r)(E,1)/r! |
Ω |
0.10606232043666 |
Real period |
R |
14.874777114322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20328h1 121968bb1 40656p1 |
Quadratic twists by: -4 -3 -11 |