Atkin-Lehner |
3- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
56763r |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1485359999584353459 = -1 · 310 · 7 · 176 · 533 |
Discriminant |
Eigenvalues |
0 3- 3 7- 3 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,45924,58514823] |
[a1,a2,a3,a4,a6] |
Generators |
[53:7816:1] |
Generators of the group modulo torsion |
j |
14693163409866752/2037530863627371 |
j-invariant |
L |
7.0077274776287 |
L(r)(E,1)/r! |
Ω |
0.20676698045893 |
Real period |
R |
4.2364884989571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18921h2 |
Quadratic twists by: -3 |