Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680ci |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
2.7437579170312E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7985127,3452052854] |
[a1,a2,a3,a4,a6] |
Generators |
[-1247:107100:1] |
Generators of the group modulo torsion |
j |
301718334611613181264/147020635986328125 |
j-invariant |
L |
8.1518108060392 |
L(r)(E,1)/r! |
Ω |
0.10532652127516 |
Real period |
R |
0.92137635995829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840cf2 28560j2 |
Quadratic twists by: -4 -3 |