Atkin-Lehner |
2+ 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850be |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
-896624580384000 = -1 · 28 · 311 · 53 · 13 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44741,3913328] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:1222:1] [-168:2671:1] |
Generators of the group modulo torsion |
j |
-79234953176119229/7172996643072 |
j-invariant |
L |
7.4824599376588 |
L(r)(E,1)/r! |
Ω |
0.48721162876415 |
Real period |
R |
0.11634636616085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850bp1 |
Quadratic twists by: 5 |