Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2800j |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-10976000 = -1 · 28 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 1 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,-157] |
[a1,a2,a3,a4,a6] |
j |
1024/343 |
j-invariant |
L |
2.1345407008501 |
L(r)(E,1)/r! |
Ω |
1.0672703504251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1400f1 11200cx1 25200bx1 2800k1 |
Quadratic twists by: -4 8 -3 5 |