Atkin-Lehner |
2- 5+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
99760l |
Isogeny class |
Conductor |
99760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22656 |
Modular degree for the optimal curve |
Δ |
-231443200 = -1 · 28 · 52 · 292 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -3 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8,732] |
[a1,a2,a3,a4,a6] |
Generators |
[14:58:1] [6:30:1] |
Generators of the group modulo torsion |
j |
-221184/904075 |
j-invariant |
L |
9.1999676604792 |
L(r)(E,1)/r! |
Ω |
1.4153846198661 |
Real period |
R |
0.81249714129788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24940a1 |
Quadratic twists by: -4 |