Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080bs |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
43822231200000 = 28 · 39 · 55 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5821743,-5406642542] |
[a1,a2,a3,a4,a6] |
Generators |
[36053:6829866:1] |
Generators of the group modulo torsion |
j |
116927134713618287056/234815625 |
j-invariant |
L |
6.0194924185901 |
L(r)(E,1)/r! |
Ω |
0.097193293142401 |
Real period |
R |
7.7416509585417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360o1 |
Quadratic twists by: -3 |