Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bh |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5.143908873096E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4443123,-3766333678] |
[a1,a2,a3,a4,a6] |
Generators |
[484355:24107706:125] |
Generators of the group modulo torsion |
j |
-6497274863743503842/344536934765625 |
j-invariant |
L |
5.8433555893338 |
L(r)(E,1)/r! |
Ω |
0.05183341992683 |
Real period |
R |
7.0458349963174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840k5 28560bc5 |
Quadratic twists by: -4 -3 |