Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150cd |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-5705437500 = -1 · 22 · 34 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,437,-883] |
[a1,a2,a3,a4,a6] |
Generators |
[166:967:8] |
Generators of the group modulo torsion |
j |
590589719/365148 |
j-invariant |
L |
9.5448179914824 |
L(r)(E,1)/r! |
Ω |
0.77999569708958 |
Real period |
R |
1.5296267061308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450bg1 966d1 |
Quadratic twists by: -3 5 |