Atkin-Lehner |
2- 3- 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
41814k |
Isogeny class |
Conductor |
41814 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-3739175136 = -1 · 25 · 37 · 232 · 101 |
Discriminant |
Eigenvalues |
2- 3- -3 4 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,301,-2221] |
[a1,a2,a3,a4,a6] |
Generators |
[33:190:1] |
Generators of the group modulo torsion |
j |
4149995543/5129184 |
j-invariant |
L |
8.2612815446312 |
L(r)(E,1)/r! |
Ω |
0.7494891689427 |
Real period |
R |
0.55112748035304 |
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 |
13938e1 |
Quadratic twists by: -3 |