Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805bg |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-635556900601109375 = -1 · 56 · 73 · 179 |
Discriminant |
Eigenvalues |
1 0 5- 7- 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,122771,34567728] |
[a1,a2,a3,a4,a6] |
Generators |
[-12972:80181:64] |
Generators of the group modulo torsion |
j |
24718462497/76765625 |
j-invariant |
L |
6.5792493388858 |
L(r)(E,1)/r! |
Ω |
0.20352359727165 |
Real period |
R |
2.6938929223567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70805h1 4165d1 |
Quadratic twists by: -7 17 |