Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2800a |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
784000000 = 210 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475,-3750] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:12:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
3.1968785594863 |
L(r)(E,1)/r! |
Ω |
1.026896981927 |
Real period |
R |
1.5565721857938 |
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 |
1400a2 11200bv2 25200bf2 112b2 |
Quadratic twists by: -4 8 -3 5 |