Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ca |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
72841691664000000 = 210 · 38 · 56 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441867,112305674] |
[a1,a2,a3,a4,a6] |
Generators |
[283:-3150:1] [-662:10710:1] |
Generators of the group modulo torsion |
j |
12781179439594276/97578140625 |
j-invariant |
L |
11.554826832594 |
L(r)(E,1)/r! |
Ω |
0.34724492527993 |
Real period |
R |
0.69324428232019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998907 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840v2 28560o2 |
Quadratic twists by: -4 -3 |