Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350bf |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-24903940320000 = -1 · 28 · 33 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44126,3572048] |
[a1,a2,a3,a4,a6] |
Generators |
[53:1149:1] |
Generators of the group modulo torsion |
j |
-2637114025/6912 |
j-invariant |
L |
3.7357068360709 |
L(r)(E,1)/r! |
Ω |
0.67377268226394 |
Real period |
R |
0.92407695117551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58800gn1 22050fa1 7350bo1 7350p1 |
Quadratic twists by: -4 -3 5 -7 |