Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600q |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
-51460830000 = -1 · 24 · 32 · 54 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -5 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,517,9762] |
[a1,a2,a3,a4,a6] |
Generators |
[98:996:1] |
Generators of the group modulo torsion |
j |
1525299200/5146083 |
j-invariant |
L |
5.9439974528366 |
L(r)(E,1)/r! |
Ω |
0.79639871595572 |
Real period |
R |
1.2439324957797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800bg1 99600v1 |
Quadratic twists by: -4 5 |