Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600ca |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1995840 |
Modular degree for the optimal curve |
Δ |
-338990467500000000 = -1 · 28 · 39 · 510 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4448333,3612729537] |
[a1,a2,a3,a4,a6] |
Generators |
[1141:4618:1] |
Generators of the group modulo torsion |
j |
-3893818226483200/135596187 |
j-invariant |
L |
5.9635991621676 |
L(r)(E,1)/r! |
Ω |
0.2841290479208 |
Real period |
R |
5.2472628340012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900m1 99600dh1 |
Quadratic twists by: -4 5 |