Atkin-Lehner |
3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573l |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-200952851784993 = -1 · 39 · 79 · 11 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11- 1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14470,-131246] |
[a1,a2,a3,a4,a6] |
j |
421875/253 |
j-invariant |
L |
1.3154781850704 |
L(r)(E,1)/r! |
Ω |
0.32886959924876 |
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 |
111573c1 111573m1 |
Quadratic twists by: -3 -7 |