Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200w |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1102500000000 = 28 · 32 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5908,-169312] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:42:1] |
Generators of the group modulo torsion |
j |
5702413264/275625 |
j-invariant |
L |
4.2224368470386 |
L(r)(E,1)/r! |
Ω |
0.54617675158342 |
Real period |
R |
1.9327245414591 |
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 |
8400e2 33600b2 12600l2 840b2 |
Quadratic twists by: -4 8 -3 5 |