Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200bh |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-26368000000 = -1 · 214 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,5312] |
[a1,a2,a3,a4,a6] |
Generators |
[4042:256950:1] |
Generators of the group modulo torsion |
j |
357911/412 |
j-invariant |
L |
9.5185494668085 |
L(r)(E,1)/r! |
Ω |
0.79254415776852 |
Real period |
R |
6.0050593859698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5150l1 1648a1 |
Quadratic twists by: -4 5 |