Atkin-Lehner |
3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24225g |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1816875 = -1 · 32 · 54 · 17 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 -2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,68] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [2:-8:1] |
Generators of the group modulo torsion |
j |
-102400/2907 |
j-invariant |
L |
3.4907511371714 |
L(r)(E,1)/r! |
Ω |
2.2089675528203 |
Real period |
R |
0.26337727571086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72675bl1 24225n1 |
Quadratic twists by: -3 5 |