Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bk |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-566545999556250 = -1 · 2 · 312 · 55 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1447143,669942508] |
[a1,a2,a3,a4,a6] |
Generators |
[194:19815:1] |
Generators of the group modulo torsion |
j |
-6840085736008638067129/11562163256250 |
j-invariant |
L |
6.857170811062 |
L(r)(E,1)/r! |
Ω |
0.44249387777963 |
Real period |
R |
0.12913871341781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730a1 |
Quadratic twists by: -7 |