Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cn |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-4.6028558105801E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5359107,-5784184366] |
[a1,a2,a3,a4,a6] |
Generators |
[4009:192780:1] |
Generators of the group modulo torsion |
j |
-22802029959091525636/6165948391659315 |
j-invariant |
L |
7.1250390872939 |
L(r)(E,1)/r! |
Ω |
0.048923457600055 |
Real period |
R |
3.0340928761655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840ch3 28560l3 |
Quadratic twists by: -4 -3 |