Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25432a |
Isogeny class |
Conductor |
25432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
14693512249484288 = 210 · 112 · 179 |
Discriminant |
Eigenvalues |
2+ 0 2 2 11+ 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211259,-36916282] |
[a1,a2,a3,a4,a6] |
Generators |
[-1969375921684:4994850073961:7575729344] |
Generators of the group modulo torsion |
j |
8586756/121 |
j-invariant |
L |
6.6810405385155 |
L(r)(E,1)/r! |
Ω |
0.2228775168529 |
Real period |
R |
14.988143785999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50864p1 25432k1 |
Quadratic twists by: -4 17 |