Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dx |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-4.6201505625E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,439495,307089497] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-18800:1] |
Generators of the group modulo torsion |
j |
22253722294800933/109514680000000 |
j-invariant |
L |
10.001835084709 |
L(r)(E,1)/r! |
Ω |
0.14501049436968 |
Real period |
R |
0.95796084815726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150k1 16830b1 |
Quadratic twists by: -3 5 |