Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344y |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-16428483771392 = -1 · 210 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11+ -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4927,144167] |
[a1,a2,a3,a4,a6] |
Generators |
[26:539:1] [194:2905:1] |
Generators of the group modulo torsion |
j |
12914669408000/16043441183 |
j-invariant |
L |
13.593013158916 |
L(r)(E,1)/r! |
Ω |
0.46627692236641 |
Real period |
R |
1.8220145192322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344dj1 14168g1 |
Quadratic twists by: -4 8 |