Atkin-Lehner |
2+ 3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142o |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-12080124 = -1 · 22 · 33 · 7 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,55,56] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
18884848247/12080124 |
j-invariant |
L |
5.6772775830509 |
L(r)(E,1)/r! |
Ω |
1.4053823760153 |
Real period |
R |
1.3465558507874 |
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 |
69426bu1 |
Quadratic twists by: -3 |