Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bt |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-64607618949300 = -1 · 22 · 311 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80487,8817601] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:3809:1] [-72:3809:1] |
Generators of the group modulo torsion |
j |
-3163999679727385/3544999668 |
j-invariant |
L |
8.6845980451132 |
L(r)(E,1)/r! |
Ω |
0.61810626958278 |
Real period |
R |
0.29271524146529 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550ca1 97650eq1 |
Quadratic twists by: -3 5 |