Atkin-Lehner |
3- 7+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
24297b |
Isogeny class |
Conductor |
24297 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
-1441273743 = -1 · 34 · 7 · 134 · 89 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-494,4563] |
[a1,a2,a3,a4,a6] |
j |
-13333970928097/1441273743 |
j-invariant |
L |
1.4750412562811 |
L(r)(E,1)/r! |
Ω |
1.4750412562811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72891c1 |
Quadratic twists by: -3 |