Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15895d |
Isogeny class |
Conductor |
15895 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
421632 |
Modular degree for the optimal curve |
Δ |
-8533762090046875 = -1 · 56 · 113 · 177 |
Discriminant |
Eigenvalues |
0 2 5+ -5 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3801891,2854572247] |
[a1,a2,a3,a4,a6] |
Generators |
[1043:4768:1] [1961:54187:1] |
Generators of the group modulo torsion |
j |
-251784668965666816/353546875 |
j-invariant |
L |
6.8165279237706 |
L(r)(E,1)/r! |
Ω |
0.35075624148358 |
Real period |
R |
0.8097418184848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79475i1 935b1 |
Quadratic twists by: 5 17 |