Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800bv |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-536544000 = -1 · 28 · 36 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 -6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,1100] |
[a1,a2,a3,a4,a6] |
Generators |
[25:135:1] |
Generators of the group modulo torsion |
j |
1024/23 |
j-invariant |
L |
7.8789157699596 |
L(r)(E,1)/r! |
Ω |
1.2317707825743 |
Real period |
R |
1.5991034770327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41400cf1 9200o1 82800ce1 |
Quadratic twists by: -4 -3 5 |