Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680f |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
168661606400000000 = 219 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-274988,-51867088] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:1568:1] [694:9568:1] |
Generators of the group modulo torsion |
j |
74565301329/5468750 |
j-invariant |
L |
6.2467277224763 |
L(r)(E,1)/r! |
Ω |
0.20944872183923 |
Real period |
R |
7.4561540261769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15680cb4 490h3 78400y3 2240f4 |
Quadratic twists by: -4 8 5 -7 |