Atkin-Lehner |
2- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
72100f |
Isogeny class |
Conductor |
72100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-494606000 = -1 · 24 · 53 · 74 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 2 -6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,107,-1018] |
[a1,a2,a3,a4,a6] |
Generators |
[7:5:1] [13:-49:1] |
Generators of the group modulo torsion |
j |
67108864/247303 |
j-invariant |
L |
8.224944803727 |
L(r)(E,1)/r! |
Ω |
0.84182237352945 |
Real period |
R |
0.8142003450296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72100h1 |
Quadratic twists by: 5 |