Atkin-Lehner |
2- 3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900p |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
17186116170000 = 24 · 3 · 54 · 174 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7658,166137] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:289:1] |
Generators of the group modulo torsion |
j |
4967369977600/1718611617 |
j-invariant |
L |
6.3079623545063 |
L(r)(E,1)/r! |
Ω |
0.63667096291197 |
Real period |
R |
1.651287903374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900ba1 |
Quadratic twists by: 5 |