Atkin-Lehner |
2+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45248o |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-567590912 = -1 · 214 · 73 · 101 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113,1199] |
[a1,a2,a3,a4,a6] |
Generators |
[5:28:1] |
Generators of the group modulo torsion |
j |
-9826000/34643 |
j-invariant |
L |
6.7001280821934 |
L(r)(E,1)/r! |
Ω |
1.4333648677478 |
Real period |
R |
0.77906752064641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248y1 5656g1 |
Quadratic twists by: -4 8 |