Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bo |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-59433255698432 = -1 · 219 · 7 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20993,-1221119] |
[a1,a2,a3,a4,a6] |
Generators |
[195:1436:1] |
Generators of the group modulo torsion |
j |
-3903264618625/226719878 |
j-invariant |
L |
5.8567895224788 |
L(r)(E,1)/r! |
Ω |
0.19764617744394 |
Real period |
R |
4.9387830350584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344cs2 3542m2 |
Quadratic twists by: -4 8 |