Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400i |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
576240000000 = 210 · 3 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8408,297312] |
[a1,a2,a3,a4,a6] |
j |
4108974916/36015 |
j-invariant |
L |
1.8479377911188 |
L(r)(E,1)/r! |
Ω |
0.92396889555939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4200l3 33600gw3 25200bt3 1680f4 |
Quadratic twists by: -4 8 -3 5 |