Atkin-Lehner |
5- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86275w |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
4363358125 = 54 · 72 · 173 · 29 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- 3 -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-713,6306] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:57:1] [4:-62:1] |
Generators of the group modulo torsion |
j |
64143160225/6981373 |
j-invariant |
L |
6.1814113769623 |
L(r)(E,1)/r! |
Ω |
1.3384096327277 |
Real period |
R |
0.25658194230802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86275a1 |
Quadratic twists by: 5 |