Atkin-Lehner |
2- 3- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
11454b |
Isogeny class |
Conductor |
11454 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
92928 |
Modular degree for the optimal curve |
Δ |
-5518474092675072 = -1 · 216 · 312 · 23 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58907,-6566703] |
[a1,a2,a3,a4,a6] |
j |
-22606060726431343153/5518474092675072 |
j-invariant |
L |
3.6306221406917 |
L(r)(E,1)/r! |
Ω |
0.15127592252882 |
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 |
91632m1 34362d1 |
Quadratic twists by: -4 -3 |