Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288j |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-214541781696 = -1 · 26 · 32 · 113 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1246,14916] |
[a1,a2,a3,a4,a6] |
Generators |
[16:198:1] |
Generators of the group modulo torsion |
j |
3340021539392/3352215339 |
j-invariant |
L |
5.6219069627645 |
L(r)(E,1)/r! |
Ω |
0.65800971529236 |
Real period |
R |
1.4239675676791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24288d1 48576ca2 72864bc1 |
Quadratic twists by: -4 8 -3 |