Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930bm |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
40415760 = 24 · 38 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-662,-6379] |
[a1,a2,a3,a4,a6] |
j |
43949604889/55440 |
j-invariant |
L |
3.7655568612579 |
L(r)(E,1)/r! |
Ω |
0.94138921531448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440ef1 2310h1 34650v1 48510dm1 |
Quadratic twists by: -4 -3 5 -7 |