Atkin-Lehner |
2+ 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
43610l |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
136281250000 = 24 · 59 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -3 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12889,566173] |
[a1,a2,a3,a4,a6] |
Generators |
[62:19:1] |
Generators of the group modulo torsion |
j |
4832860466545209/2781250000 |
j-invariant |
L |
1.9015799891501 |
L(r)(E,1)/r! |
Ω |
1.0246207441878 |
Real period |
R |
0.10310481544434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43610b1 |
Quadratic twists by: -7 |