Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24528k |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-60305129472 = -1 · 214 · 3 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65248,-6393344] |
[a1,a2,a3,a4,a6] |
j |
-7500185978118625/14722932 |
j-invariant |
L |
1.4935754008078 |
L(r)(E,1)/r! |
Ω |
0.14935754008078 |
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 |
3066h1 98112cd1 73584bf1 |
Quadratic twists by: -4 8 -3 |