Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dj |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-424414687500000000 = -1 · 28 · 310 · 513 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 2 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190200,44741500] |
[a1,a2,a3,a4,a6] |
Generators |
[30:6250:1] |
Generators of the group modulo torsion |
j |
-260956266496/145546875 |
j-invariant |
L |
5.0046658563225 |
L(r)(E,1)/r! |
Ω |
0.27692409235946 |
Real period |
R |
1.1295211388704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20700o1 27600da1 16560bq1 |
Quadratic twists by: -4 -3 5 |