Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400j |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7087500000000000 = 211 · 34 · 514 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-610008,183538512] |
[a1,a2,a3,a4,a6] |
j |
784478485879202/221484375 |
j-invariant |
L |
1.6400364537715 |
L(r)(E,1)/r! |
Ω |
0.41000911344288 |
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 |
4200k5 33600gu6 25200bs6 1680h5 |
Quadratic twists by: -4 8 -3 5 |