Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200a |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1152480000000 = 211 · 3 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16408,812812] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1850:1] |
Generators of the group modulo torsion |
j |
15267472418/36015 |
j-invariant |
L |
3.0018566690036 |
L(r)(E,1)/r! |
Ω |
0.86990276921847 |
Real period |
R |
3.450795623631 |
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 |
8400y3 33600cb4 12600bs3 840i3 |
Quadratic twists by: -4 8 -3 5 |