Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890di |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1112832 |
Modular degree for the optimal curve |
Δ |
1769424959736000 = 26 · 33 · 53 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126503,-17167713] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:270:1] |
Generators of the group modulo torsion |
j |
29354778243/232000 |
j-invariant |
L |
10.30261758666 |
L(r)(E,1)/r! |
Ω |
0.2532687440301 |
Real period |
R |
3.3898832120223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890x2 127890dr1 |
Quadratic twists by: -3 -7 |