Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gm |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-463498200000000 = -1 · 29 · 36 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9445,-976053] |
[a1,a2,a3,a4,a6] |
Generators |
[1919:83190:1] [630:3693:8] |
Generators of the group modulo torsion |
j |
327254135/1627648 |
j-invariant |
L |
14.886466716805 |
L(r)(E,1)/r! |
Ω |
0.26494897869472 |
Real period |
R |
0.52024225744293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350o1 84150bu1 |
Quadratic twists by: -3 5 |