Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880dv |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
3494480000000 = 210 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104445,12957043] |
[a1,a2,a3,a4,a6] |
Generators |
[206:475:1] |
Generators of the group modulo torsion |
j |
123052623197108224/3412578125 |
j-invariant |
L |
5.2211005636322 |
L(r)(E,1)/r! |
Ω |
0.73546704976783 |
Real period |
R |
0.50707336874146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880x1 16720d1 |
Quadratic twists by: -4 8 |