Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bm |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
381024 |
Modular degree for the optimal curve |
Δ |
-383825627136000 = -1 · 214 · 33 · 53 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1643,942806] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-968:1] |
Generators of the group modulo torsion |
j |
-4165509529/3262464000 |
j-invariant |
L |
6.3461478656089 |
L(r)(E,1)/r! |
Ω |
0.43225584019491 |
Real period |
R |
0.81563680045344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1770a1 |
Quadratic twists by: -7 |