Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bq |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-15427991028240 = -1 · 24 · 34 · 5 · 79 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 -2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9483,-403322] |
[a1,a2,a3,a4,a6] |
Generators |
[347:6000:1] |
Generators of the group modulo torsion |
j |
-2336752783/382320 |
j-invariant |
L |
4.9580184765861 |
L(r)(E,1)/r! |
Ω |
0.23975001300401 |
Real period |
R |
1.2924969257638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730e1 |
Quadratic twists by: -7 |