Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923f |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-79216839634287537 = -1 · 314 · 78 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,101439,5335330] |
[a1,a2,a3,a4,a6] |
Generators |
[1285960:64321855:512] |
Generators of the group modulo torsion |
j |
158346567380527343/108665074944153 |
j-invariant |
L |
6.4697667956874 |
L(r)(E,1)/r! |
Ω |
0.21643729954239 |
Real period |
R |
7.4730266102081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641b6 97461l5 |
Quadratic twists by: -3 -7 |