Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900bo |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-32794593750000 = -1 · 24 · 32 · 59 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-872458,-313955287] |
[a1,a2,a3,a4,a6] |
Generators |
[2018698:57309375:1331] |
Generators of the group modulo torsion |
j |
-2350215986180864/1049427 |
j-invariant |
L |
8.4343849667424 |
L(r)(E,1)/r! |
Ω |
0.078105815926856 |
Real period |
R |
8.9988870300467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900n1 |
Quadratic twists by: 5 |