Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572b |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
78385104 = 24 · 33 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3696,86485] |
[a1,a2,a3,a4,a6] |
Generators |
[63:322:1] |
Generators of the group modulo torsion |
j |
37682675712/529 |
j-invariant |
L |
4.3437192338709 |
L(r)(E,1)/r! |
Ω |
1.7620601709803 |
Real period |
R |
1.2325683610043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40572f1 40572a1 |
Quadratic twists by: -3 -7 |