Atkin-Lehner |
2- 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
53560f |
Isogeny class |
Conductor |
53560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79552 |
Modular degree for the optimal curve |
Δ |
-13599218750000 = -1 · 24 · 511 · 132 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 4 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3609,-157784] |
[a1,a2,a3,a4,a6] |
j |
324820951033856/849951171875 |
j-invariant |
L |
1.4558750520832 |
L(r)(E,1)/r! |
Ω |
0.36396876249813 |
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 |
107120d1 |
Quadratic twists by: -4 |