Atkin-Lehner |
2- 3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40260n |
Isogeny class |
Conductor |
40260 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
108960167250000 = 24 · 310 · 56 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12585,203400] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:495:1] [285:4455:1] |
Generators of the group modulo torsion |
j |
13778371731767296/6810010453125 |
j-invariant |
L |
10.085040403284 |
L(r)(E,1)/r! |
Ω |
0.52692367838133 |
Real period |
R |
0.21266078765934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120780n1 |
Quadratic twists by: -3 |