Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090q |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
52985856 |
Modular degree for the optimal curve |
Δ |
-1.222987918614E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1536287569,-23177171340508] |
[a1,a2,a3,a4,a6] |
Generators |
[664598:164112187:8] |
Generators of the group modulo torsion |
j |
-3408419340318211285837753081/10395225786993868800 |
j-invariant |
L |
5.6397774912245 |
L(r)(E,1)/r! |
Ω |
0.012057335638133 |
Real period |
R |
7.3085402893496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870d1 |
Quadratic twists by: -7 |