Atkin-Lehner |
3- 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69615h |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
389659737796875 = 311 · 56 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-196155,-33376050] |
[a1,a2,a3,a4,a6] |
Generators |
[-14912430:5672090:59319] |
Generators of the group modulo torsion |
j |
1144973875372271281/534512671875 |
j-invariant |
L |
7.5517916453052 |
L(r)(E,1)/r! |
Ω |
0.22686200884055 |
Real period |
R |
8.3220100233023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205k2 |
Quadratic twists by: -3 |