Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680cz |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-397488013631815680 = -1 · 224 · 39 · 5 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,156573,18747234] |
[a1,a2,a3,a4,a6] |
Generators |
[145830:5287464:125] |
Generators of the group modulo torsion |
j |
5265299629773/4930293760 |
j-invariant |
L |
6.1678137940629 |
L(r)(E,1)/r! |
Ω |
0.19641005175368 |
Real period |
R |
7.8506850001895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710e3 85680cp1 |
Quadratic twists by: -4 -3 |