Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40572i |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
499968 |
Modular degree for the optimal curve |
Δ |
6722786314261584 = 24 · 39 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1629936,800937585] |
[a1,a2,a3,a4,a6] |
j |
37682675712/529 |
j-invariant |
L |
2.3070783178001 |
L(r)(E,1)/r! |
Ω |
0.38451305298019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40572a1 40572f1 |
Quadratic twists by: -3 -7 |