Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640z |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1391040 |
Modular degree for the optimal curve |
Δ |
362527581606400000 = 212 · 55 · 78 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 6 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2904981,-1904549219] |
[a1,a2,a3,a4,a6] |
Generators |
[-12459784044:5866647317:12649337] |
Generators of the group modulo torsion |
j |
114817869021184/15353125 |
j-invariant |
L |
5.007266414536 |
L(r)(E,1)/r! |
Ω |
0.11564242836742 |
Real period |
R |
14.433187097143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4165c1 66640cd1 |
Quadratic twists by: -4 -7 |