Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150es |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
408969000000 = 26 · 37 · 56 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2030,17597] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-485:1] |
Generators of the group modulo torsion |
j |
81182737/35904 |
j-invariant |
L |
10.378791674053 |
L(r)(E,1)/r! |
Ω |
0.85090269497326 |
Real period |
R |
0.50822456616178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050bj1 3366f1 |
Quadratic twists by: -3 5 |