Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cq |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7475256000000000 = -1 · 212 · 32 · 59 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32533,4722563] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:2625:1] |
Generators of the group modulo torsion |
j |
-59501707264/116800875 |
j-invariant |
L |
8.6932296564138 |
L(r)(E,1)/r! |
Ω |
0.37207675550341 |
Real period |
R |
2.920509521108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3525f2 11280m2 |
Quadratic twists by: -4 5 |