Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2800q |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-336140000000 = -1 · 28 · 57 · 75 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 5 3 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,-26500] |
[a1,a2,a3,a4,a6] |
j |
14155776/84035 |
j-invariant |
L |
3.850483663761 |
L(r)(E,1)/r! |
Ω |
0.48131045797012 |
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 |
700d1 11200cg1 25200ec1 560e1 |
Quadratic twists by: -4 8 -3 5 |