Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288i |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2549657088 = -1 · 29 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11- -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,2552] |
[a1,a2,a3,a4,a6] |
Generators |
[14:54:1] |
Generators of the group modulo torsion |
j |
-1352899016/4979799 |
j-invariant |
L |
6.0707236840863 |
L(r)(E,1)/r! |
Ω |
1.2631655185653 |
Real period |
R |
0.26699780981731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24288c1 48576bz1 72864bb1 |
Quadratic twists by: -4 8 -3 |