Atkin-Lehner |
2+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
91630m |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-10013154593750 = -1 · 2 · 56 · 72 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9188,-375458] |
[a1,a2,a3,a4,a6] |
Generators |
[113:156:1] [521:-11948:1] |
Generators of the group modulo torsion |
j |
-1750912507829401/204350093750 |
j-invariant |
L |
6.4679292980619 |
L(r)(E,1)/r! |
Ω |
0.24222532746739 |
Real period |
R |
1.4834510049679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91630r1 |
Quadratic twists by: -7 |