Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840dm |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-931682995200 = -1 · 210 · 39 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648,46872] |
[a1,a2,a3,a4,a6] |
Generators |
[1:215:1] [22:208:1] |
Generators of the group modulo torsion |
j |
-1492992/46225 |
j-invariant |
L |
11.181422220059 |
L(r)(E,1)/r! |
Ω |
0.7374819704563 |
Real period |
R |
3.7904052813246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840g1 30960b1 123840dx1 |
Quadratic twists by: -4 8 -3 |