Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6944h |
Isogeny class |
Conductor |
6944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-4763584 = -1 · 26 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 2 2 7- 2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22,120] |
[a1,a2,a3,a4,a6] |
j |
-19248832/74431 |
j-invariant |
L |
4.2586617481346 |
L(r)(E,1)/r! |
Ω |
2.1293308740673 |
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 |
6944g1 13888w1 62496u1 48608h1 |
Quadratic twists by: -4 8 -3 -7 |