Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150bh |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
22218000000000 = 210 · 3 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7501,104648] |
[a1,a2,a3,a4,a6] |
j |
2986606123201/1421952000 |
j-invariant |
L |
2.4187192072472 |
L(r)(E,1)/r! |
Ω |
0.6046798018118 |
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 |
72450ee1 4830v1 |
Quadratic twists by: -3 5 |