Atkin-Lehner |
2+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
1562a |
Isogeny class |
Conductor |
1562 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
274912 = 25 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 1 -2 3 11+ -5 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
498677257/274912 |
j-invariant |
L |
2.3054583702698 |
L(r)(E,1)/r! |
Ω |
2.6859043926879 |
Real period |
R |
0.42917729621095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12496i1 49984i1 14058h1 39050m1 |
Quadratic twists by: -4 8 -3 5 |