Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600dm |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2674944000000 = -1 · 214 · 35 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5808,-189612] |
[a1,a2,a3,a4,a6] |
j |
-338608873/41796 |
j-invariant |
L |
2.7155989163927 |
L(r)(E,1)/r! |
Ω |
0.27155989163173 |
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 |
6450y1 2064h1 |
Quadratic twists by: -4 5 |