Atkin-Lehner |
2+ 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802i |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50242943898 = 2 · 39 · 73 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2256,-39250] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:45:1] |
Generators of the group modulo torsion |
j |
188132517/7442 |
j-invariant |
L |
4.5167288044155 |
L(r)(E,1)/r! |
Ω |
0.69440582269301 |
Real period |
R |
3.2522256127419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53802bq2 53802b2 |
Quadratic twists by: -3 -7 |