Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386o |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19217939957600832 = 26 · 38 · 76 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32165667,-70208099627] |
[a1,a2,a3,a4,a6] |
Generators |
[33429550432423:11715256225242466:270840023] |
Generators of the group modulo torsion |
j |
42912679782639390625/224073792 |
j-invariant |
L |
5.3506123029429 |
L(r)(E,1)/r! |
Ω |
0.06339447561401 |
Real period |
R |
21.100467553258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21462y3 1314a3 |
Quadratic twists by: -3 -7 |