Atkin-Lehner |
5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113735i |
Isogeny class |
Conductor |
113735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101200 |
Modular degree for the optimal curve |
Δ |
-3978464516875 = -1 · 54 · 236 · 43 |
Discriminant |
Eigenvalues |
0 0 5- 2 1 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4232,142962] |
[a1,a2,a3,a4,a6] |
j |
-56623104/26875 |
j-invariant |
L |
2.9223066800723 |
L(r)(E,1)/r! |
Ω |
0.73057653870055 |
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 |
215a1 |
Quadratic twists by: -23 |