Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200cu |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
42633378000 = 24 · 310 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-930,4525] |
[a1,a2,a3,a4,a6] |
j |
61011968/29241 |
j-invariant |
L |
4.0702684145118 |
L(r)(E,1)/r! |
Ω |
1.0175671036274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400cx1 11400p1 34200bi1 |
Quadratic twists by: -4 -3 5 |