Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320bh |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
65435040000 = 28 · 37 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1983,31682] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:250:1] |
Generators of the group modulo torsion |
j |
4620876496/350625 |
j-invariant |
L |
6.7599987454752 |
L(r)(E,1)/r! |
Ω |
1.0785525956274 |
Real period |
R |
1.5669144863572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440e1 |
Quadratic twists by: -3 |