Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300m |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2376446688000 = -1 · 28 · 39 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 0 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1080,72900] |
[a1,a2,a3,a4,a6] |
Generators |
[0:270:1] |
Generators of the group modulo torsion |
j |
221184/3773 |
j-invariant |
L |
5.9927908062124 |
L(r)(E,1)/r! |
Ω |
0.60831812561022 |
Real period |
R |
0.82095077029435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69300p1 69300s1 |
Quadratic twists by: -3 5 |