Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400ck |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
1181250000 = 24 · 33 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,-23562] |
[a1,a2,a3,a4,a6] |
j |
1594753024/4725 |
j-invariant |
L |
2.2892278201906 |
L(r)(E,1)/r! |
Ω |
0.76307594006354 |
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 |
2100b1 33600ff1 25200et1 1680l1 |
Quadratic twists by: -4 8 -3 5 |