Atkin-Lehner |
2+ 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590a |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-2.4299036801741E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ 0 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,140595,-236331675] |
[a1,a2,a3,a4,a6] |
Generators |
[151497:58890879:1] |
Generators of the group modulo torsion |
j |
11383291012088071413/899964325990400000 |
j-invariant |
L |
2.6684848427665 |
L(r)(E,1)/r! |
Ω |
0.10129906030927 |
Real period |
R |
6.5856604064769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40590bb1 |
Quadratic twists by: -3 |