Atkin-Lehner |
2- 3- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870be |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
512285504400 = 24 · 310 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2003,2531] |
[a1,a2,a3,a4,a6] |
Generators |
[1:22:1] |
Generators of the group modulo torsion |
j |
1218528651241/702723600 |
j-invariant |
L |
10.844811679872 |
L(r)(E,1)/r! |
Ω |
0.79019834017827 |
Real period |
R |
1.7155205100269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290e1 |
Quadratic twists by: -3 |