Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600cq |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-460278182700000000 = -1 · 28 · 35 · 58 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,124292,-27904912] |
[a1,a2,a3,a4,a6] |
Generators |
[1358:-51450:1] |
Generators of the group modulo torsion |
j |
2123487686960/4602781827 |
j-invariant |
L |
8.5631190709106 |
L(r)(E,1)/r! |
Ω |
0.15388874894738 |
Real period |
R |
0.13248778000722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96600g1 |
Quadratic twists by: 5 |