Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650co |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
552971241522000000 = 27 · 32 · 56 · 78 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-244888,29907392] |
[a1,a2,a3,a4,a6] |
Generators |
[872:-22336:1] |
Generators of the group modulo torsion |
j |
103945647763581625/35390159457408 |
j-invariant |
L |
10.654435910115 |
L(r)(E,1)/r! |
Ω |
0.26840525755788 |
Real period |
R |
1.417690441739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3066c2 |
Quadratic twists by: 5 |