Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752q |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-675624255488 = -1 · 219 · 73 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ -1 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2224,-57260] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-1088:1] [63:238:1] |
Generators of the group modulo torsion |
j |
-297141543217/164947328 |
j-invariant |
L |
7.9214539591384 |
L(r)(E,1)/r! |
Ω |
0.33885208309557 |
Real period |
R |
2.9221651401597 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094f1 99008cf1 |
Quadratic twists by: -4 8 |