Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200ck |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
35937000000 = 26 · 33 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33225,2331000] |
[a1,a2,a3,a4,a6] |
j |
150229394496/1331 |
j-invariant |
L |
2.087055843839 |
L(r)(E,1)/r! |
Ω |
1.0435279431537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200cq1 79200g1 3168c1 |
Quadratic twists by: -4 -3 5 |