Atkin-Lehner |
2- 5+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
79550q |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
342065000000 = 26 · 57 · 37 · 432 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2963,-55583] |
[a1,a2,a3,a4,a6] |
Generators |
[-906:2603:27] [-226:721:8] |
Generators of the group modulo torsion |
j |
184122897769/21892160 |
j-invariant |
L |
9.8939424620453 |
L(r)(E,1)/r! |
Ω |
0.65212050425084 |
Real period |
R |
1.2643295216151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15910a1 |
Quadratic twists by: 5 |