Atkin-Lehner |
2- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99946g |
Isogeny class |
Conductor |
99946 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
855360 |
Modular degree for the optimal curve |
Δ |
24431507160456704 = 29 · 73 · 119 · 59 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 11+ -1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-93475,8019969] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2657:1] |
Generators of the group modulo torsion |
j |
38306833811/10361344 |
j-invariant |
L |
6.826539051435 |
L(r)(E,1)/r! |
Ω |
0.35319332225105 |
Real period |
R |
1.0737806909924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99946d1 |
Quadratic twists by: -11 |