Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200t |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-263533760000000 = -1 · 212 · 57 · 77 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -3 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9800,-686000] |
[a1,a2,a3,a4,a6] |
Generators |
[56:196:1] [280:4900:1] |
Generators of the group modulo torsion |
j |
13824/35 |
j-invariant |
L |
5.6650010938206 |
L(r)(E,1)/r! |
Ω |
0.28470406904737 |
Real period |
R |
0.62180805765858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200r1 78400iz1 7840t1 5600i1 |
Quadratic twists by: -4 8 5 -7 |