Atkin-Lehner |
2+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20416d |
Isogeny class |
Conductor |
20416 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1048877491904 = -1 · 26 · 117 · 292 |
Discriminant |
Eigenvalues |
2+ -3 -1 -2 11- 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1262,-46154] |
[a1,a2,a3,a4,a6] |
Generators |
[45:319:1] [133:1573:1] |
Generators of the group modulo torsion |
j |
3473136105984/16388710811 |
j-invariant |
L |
4.4305901028936 |
L(r)(E,1)/r! |
Ω |
0.44090110494767 |
Real period |
R |
0.71778164782075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20416a1 10208c1 |
Quadratic twists by: -4 8 |