Atkin-Lehner |
3- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5289d |
Isogeny class |
Conductor |
5289 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-936930483 = -1 · 312 · 41 · 43 |
Discriminant |
Eigenvalues |
0 3- -4 -3 -2 0 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,205,-880] |
[a1,a2,a3,a4,a6] |
Generators |
[22:121:1] |
Generators of the group modulo torsion |
j |
948123828224/936930483 |
j-invariant |
L |
2.4383854241293 |
L(r)(E,1)/r! |
Ω |
0.85494909468172 |
Real period |
R |
0.23767354876229 |
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 |
84624p1 15867a1 |
Quadratic twists by: -4 -3 |