Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bp |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
315633438720 = 212 · 312 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2388,35872] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:243:1] |
Generators of the group modulo torsion |
j |
504358336/105705 |
j-invariant |
L |
5.7750382464697 |
L(r)(E,1)/r! |
Ω |
0.91420957595853 |
Real period |
R |
1.5792435346331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964343 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520bk1 41760n1 27840cc1 |
Quadratic twists by: -4 8 -3 |