Atkin-Lehner |
2+ 3+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105792m |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73801728 |
Modular degree for the optimal curve |
Δ |
1.7976718168469E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1625136481,-25215020847647] |
[a1,a2,a3,a4,a6] |
Generators |
[-68260167698051979452521215156769221855493554265:-11757639907056180764731288722235695571052003328:2946485292065954919015257465048047587943375] |
Generators of the group modulo torsion |
j |
1810728381321177064113521881/68575737642171236352 |
j-invariant |
L |
9.2609141430307 |
L(r)(E,1)/r! |
Ω |
0.023778151055658 |
Real period |
R |
64.911930578212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105792bo1 3306c1 |
Quadratic twists by: -4 8 |