Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360y |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-13101392640 = -1 · 28 · 3 · 5 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18361,-963781] |
[a1,a2,a3,a4,a6] |
j |
-2674215437323264/51177315 |
j-invariant |
L |
2.4607882967612 |
L(r)(E,1)/r! |
Ω |
0.20506569139677 |
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 |
48720a1 73080q1 121800c1 |
Quadratic twists by: -4 -3 5 |