Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240f |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
181083600000000 = 210 · 39 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23328,-1208952] |
[a1,a2,a3,a4,a6] |
Generators |
[25130:186524:125] |
Generators of the group modulo torsion |
j |
69657034752/8984375 |
j-invariant |
L |
6.3774506354362 |
L(r)(E,1)/r! |
Ω |
0.38958751195777 |
Real period |
R |
8.1848755929615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240dq1 4140b1 66240x1 |
Quadratic twists by: -4 8 -3 |