Atkin-Lehner |
2- 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
78864u |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-95952329167601664 = -1 · 219 · 37 · 313 · 532 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 5 -5 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,78656,12274484] |
[a1,a2,a3,a4,a6] |
Generators |
[380:9858:1] |
Generators of the group modulo torsion |
j |
13138742866976063/23425861613184 |
j-invariant |
L |
9.9119202098156 |
L(r)(E,1)/r! |
Ω |
0.23171394335638 |
Real period |
R |
0.50924449514246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9858d1 |
Quadratic twists by: -4 |