Atkin-Lehner |
3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24675y |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
6002640 |
Modular degree for the optimal curve |
Δ |
-1344318829604296875 = -1 · 321 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 4 -5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-586746958,-5470662348506] |
[a1,a2,a3,a4,a6] |
j |
-57189489280953805721251840/3441456203787 |
j-invariant |
L |
0.9662675539856 |
L(r)(E,1)/r! |
Ω |
0.015337580221992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74025bh1 24675f1 |
Quadratic twists by: -3 5 |