Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270bd |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
171072 |
Modular degree for the optimal curve |
Δ |
7952714956800 = 222 · 33 · 52 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 1 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5120,-40543] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:341:1] |
Generators of the group modulo torsion |
j |
5284296251209/2831155200 |
j-invariant |
L |
8.2610973766812 |
L(r)(E,1)/r! |
Ω |
0.60037653796161 |
Real period |
R |
0.31272410090599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84270o1 |
Quadratic twists by: 53 |