Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600bi |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1792000 |
Modular degree for the optimal curve |
Δ |
2142042934500000000 = 28 · 37 · 59 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-549708,139997088] |
[a1,a2,a3,a4,a6] |
Generators |
[183:6750:1] |
Generators of the group modulo torsion |
j |
36740974400912/4284085869 |
j-invariant |
L |
7.5048942695913 |
L(r)(E,1)/r! |
Ω |
0.25201007076427 |
Real period |
R |
2.1271525954537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000546 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96600bw1 |
Quadratic twists by: 5 |