Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ig |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-2886485760000000 = -1 · 214 · 33 · 57 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34033,-3549937] |
[a1,a2,a3,a4,a6] |
Generators |
[263:2400:1] |
Generators of the group modulo torsion |
j |
-17029316176/11275335 |
j-invariant |
L |
7.4106400478328 |
L(r)(E,1)/r! |
Ω |
0.17069127779762 |
Real period |
R |
1.8089774276043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600p1 20400c1 16320bw1 |
Quadratic twists by: -4 8 5 |