Atkin-Lehner |
2- 5- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126160f |
Isogeny class |
Conductor |
126160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
1261600000 = 28 · 55 · 19 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- 2 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285,817] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:50:1] |
Generators of the group modulo torsion |
j |
10035552256/4928125 |
j-invariant |
L |
7.1063070541127 |
L(r)(E,1)/r! |
Ω |
1.3599270918631 |
Real period |
R |
0.52255058849008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31540c1 |
Quadratic twists by: -4 |