Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cx |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-318732750000 = -1 · 24 · 32 · 56 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6105,-187650] |
[a1,a2,a3,a4,a6] |
Generators |
[1930:28215:8] |
Generators of the group modulo torsion |
j |
-1573011399294976/19920796875 |
j-invariant |
L |
9.2349365687508 |
L(r)(E,1)/r! |
Ω |
0.26984528287271 |
Real period |
R |
5.7038465758843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780f1 |
Quadratic twists by: -4 |