Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890fy |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-2149851326079240 = -1 · 23 · 38 · 5 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31963,364389] |
[a1,a2,a3,a4,a6] |
Generators |
[53:1458:1] |
Generators of the group modulo torsion |
j |
17537639/10440 |
j-invariant |
L |
11.018284256829 |
L(r)(E,1)/r! |
Ω |
0.28291548183749 |
Real period |
R |
3.2454580798503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000199213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630k1 127890ek1 |
Quadratic twists by: -3 -7 |