Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710o |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27963484769430 = 2 · 314 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7749,-62937] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:150:1] |
Generators of the group modulo torsion |
j |
70593496254289/38358689670 |
j-invariant |
L |
3.5675769837183 |
L(r)(E,1)/r! |
Ω |
0.54274909668998 |
Real period |
R |
1.6432901526117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680fj3 3570w4 53550dn3 74970v3 |
Quadratic twists by: -4 -3 5 -7 |