Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200bm |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-3456106496000 = -1 · 228 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 1 5- -2 2 -4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-609768,183068468] |
[a1,a2,a3,a4,a6] |
Generators |
[334:4096:1] |
Generators of the group modulo torsion |
j |
-48972057559772381/6750208 |
j-invariant |
L |
6.0892184485478 |
L(r)(E,1)/r! |
Ω |
0.61737476304029 |
Real period |
R |
1.2328853585132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150g1 41200bt1 |
Quadratic twists by: -4 5 |