Atkin-Lehner |
3+ 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53475a |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-17483818359375 = -1 · 34 · 510 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5162,143906] |
[a1,a2,a3,a4,a6] |
Generators |
[6:415:1] |
Generators of the group modulo torsion |
j |
973536925031/1118964375 |
j-invariant |
L |
2.5842754429029 |
L(r)(E,1)/r! |
Ω |
0.46115009039595 |
Real period |
R |
2.8019895222295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10695d1 |
Quadratic twists by: 5 |