Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400c |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
51438240000000 = 211 · 38 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-262008,51706512] |
[a1,a2,a3,a4,a6] |
Generators |
[216:2268:1] |
Generators of the group modulo torsion |
j |
62161150998242/1607445 |
j-invariant |
L |
3.7578923819725 |
L(r)(E,1)/r! |
Ω |
0.58674418930617 |
Real period |
R |
0.80058150776409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4200o5 33600gg6 25200be6 1680j5 |
Quadratic twists by: -4 8 -3 5 |