Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800cb |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
6706800000000 = 210 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19875,1071250] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1454:1] [50:450:1] |
Generators of the group modulo torsion |
j |
2977540/23 |
j-invariant |
L |
10.83311917733 |
L(r)(E,1)/r! |
Ω |
0.75326813345821 |
Real period |
R |
1.1984576160438 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41400t1 9200m1 82800p1 |
Quadratic twists by: -4 -3 5 |