Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400c |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
77792400000000 = 210 · 34 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17008,746512] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:900:1] |
Generators of the group modulo torsion |
j |
34008619684/4862025 |
j-invariant |
L |
3.7578923819725 |
L(r)(E,1)/r! |
Ω |
0.58674418930617 |
Real period |
R |
1.6011630155282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4200o3 33600gg4 25200be4 1680j3 |
Quadratic twists by: -4 8 -3 5 |