Atkin-Lehner |
2+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84878a |
Isogeny class |
Conductor |
84878 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
7436670848 = 27 · 31 · 374 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 0 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-941,-10075] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:295:8] |
Generators of the group modulo torsion |
j |
49197753/3968 |
j-invariant |
L |
5.1906713309226 |
L(r)(E,1)/r! |
Ω |
0.86636029588045 |
Real period |
R |
1.9971180411934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84878j1 |
Quadratic twists by: 37 |