Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472cd |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
19575417575374848 = 216 · 35 · 113 · 314 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420993,-105062913] |
[a1,a2,a3,a4,a6] |
Generators |
[-379:444:1] |
Generators of the group modulo torsion |
j |
125912671148474500/298697167593 |
j-invariant |
L |
8.4011695993595 |
L(r)(E,1)/r! |
Ω |
0.18745311363656 |
Real period |
R |
4.4817444937065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472j1 16368b1 |
Quadratic twists by: -4 8 |