Atkin-Lehner |
3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245a |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65472 |
Modular degree for the optimal curve |
Δ |
-712427661225 = -1 · 311 · 52 · 74 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,122,40657] |
[a1,a2,a3,a4,a6] |
j |
82572791/296721225 |
j-invariant |
L |
1.419874671619 |
L(r)(E,1)/r! |
Ω |
0.70993733580768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245ba1 |
Quadratic twists by: -7 |