Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600bo |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1408428000000 = -1 · 28 · 37 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,57037] |
[a1,a2,a3,a4,a6] |
Generators |
[87:850:1] |
Generators of the group modulo torsion |
j |
128000/352107 |
j-invariant |
L |
6.5563173489082 |
L(r)(E,1)/r! |
Ω |
0.67007418731333 |
Real period |
R |
2.4461162149841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3864c1 |
Quadratic twists by: 5 |