Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ey |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
9860913561600 = 222 · 37 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39468,-3014192] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:36:1] |
Generators of the group modulo torsion |
j |
35578826569/51600 |
j-invariant |
L |
4.8673261923758 |
L(r)(E,1)/r! |
Ω |
0.33874750175497 |
Real period |
R |
1.7960745989499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998469324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cd1 30960cd1 41280dk1 |
Quadratic twists by: -4 8 -3 |