Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dm |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-1098842112000000 = -1 · 222 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36675,-3138750] |
[a1,a2,a3,a4,a6] |
Generators |
[231:846:1] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
5.5328859902084 |
L(r)(E,1)/r! |
Ω |
0.17064470777318 |
Real period |
R |
4.0529282027347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350s1 9200ba1 3312r1 |
Quadratic twists by: -4 -3 5 |