Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
286d |
Isogeny class |
Conductor |
286 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-1437646496 = -1 · 25 · 112 · 135 |
Discriminant |
Eigenvalues |
2- -1 1 3 11- 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,280,393] |
[a1,a2,a3,a4,a6] |
j |
2427173723519/1437646496 |
j-invariant |
L |
1.8464793390387 |
L(r)(E,1)/r! |
Ω |
0.92323966951933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
2288e1 9152a1 2574h1 7150f1 |
Quadratic twists by: -4 8 -3 5 |