Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802bi |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8108411668938 = 2 · 33 · 79 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12284,-502715] |
[a1,a2,a3,a4,a6] |
Generators |
[-26817892:-43877497:438976] |
Generators of the group modulo torsion |
j |
188132517/7442 |
j-invariant |
L |
11.608023425341 |
L(r)(E,1)/r! |
Ω |
0.45459532078697 |
Real period |
R |
12.767425108246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53802b2 53802bq2 |
Quadratic twists by: -3 -7 |