Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400dg |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-462028800000000 = -1 · 223 · 3 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 5 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-363208,84137588] |
[a1,a2,a3,a4,a6] |
Generators |
[43430:9984:125] |
Generators of the group modulo torsion |
j |
-3311853689065/288768 |
j-invariant |
L |
8.4521073326098 |
L(r)(E,1)/r! |
Ω |
0.50311954141863 |
Real period |
R |
4.1998504514768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050c1 56400bj1 |
Quadratic twists by: -4 5 |