Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384ct |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
296960 |
Modular degree for the optimal curve |
Δ |
-14977695744 = -1 · 215 · 37 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11+ 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52716,-4658672] |
[a1,a2,a3,a4,a6] |
Generators |
[185530:7056504:125] |
Generators of the group modulo torsion |
j |
-678224691656/627 |
j-invariant |
L |
10.01798065537 |
L(r)(E,1)/r! |
Ω |
0.15753749032588 |
Real period |
R |
7.9488861995007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384dz1 60192bb1 40128cb1 |
Quadratic twists by: -4 8 -3 |