Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560cf |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
113260705920000 = 210 · 314 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276528,55967848] |
[a1,a2,a3,a4,a6] |
Generators |
[449:4725:1] |
Generators of the group modulo torsion |
j |
3132662187311104/151723125 |
j-invariant |
L |
6.5109857810125 |
L(r)(E,1)/r! |
Ω |
0.55809361557815 |
Real period |
R |
2.9166190022233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560fh1 6660d1 35520bm1 |
Quadratic twists by: -4 8 -3 |