Atkin-Lehner |
2+ 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590b |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1624320 |
Modular degree for the optimal curve |
Δ |
-1.2843199307322E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11+ 0 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,583455,-17596675] |
[a1,a2,a3,a4,a6] |
Generators |
[946:36679:1] |
Generators of the group modulo torsion |
j |
1115974057219193277/652502124032000 |
j-invariant |
L |
1.8744787652959 |
L(r)(E,1)/r! |
Ω |
0.13228020279095 |
Real period |
R |
3.5426290664617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40590bc1 |
Quadratic twists by: -3 |