Atkin-Lehner |
2- 3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672bq |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-85928243938992 = -1 · 24 · 33 · 72 · 136 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2443,444378] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:546:1] |
Generators of the group modulo torsion |
j |
100738701197312/5370515246187 |
j-invariant |
L |
8.5412805152855 |
L(r)(E,1)/r! |
Ω |
0.46063375717328 |
Real period |
R |
3.0904091220033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999912027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31668b1 |
Quadratic twists by: -4 |