Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7686w |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-2856618892078350336 = -1 · 224 · 37 · 73 · 613 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1010984,399872747] |
[a1,a2,a3,a4,a6] |
Generators |
[141:16057:1] |
Generators of the group modulo torsion |
j |
-156757608184131485497/3918544433577984 |
j-invariant |
L |
5.4370239263017 |
L(r)(E,1)/r! |
Ω |
0.25398856875419 |
Real period |
R |
0.44597019603499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61488bg2 2562f2 53802ca2 |
Quadratic twists by: -4 -3 -7 |