Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890dl |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1029104372756250 = -1 · 2 · 39 · 55 · 73 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 -2 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3697,1540081] |
[a1,a2,a3,a4,a6] |
Generators |
[10292:155129:64] |
Generators of the group modulo torsion |
j |
827936019/152431250 |
j-invariant |
L |
11.200143970536 |
L(r)(E,1)/r! |
Ω |
0.38020542011325 |
Real period |
R |
7.3645345922043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890ba1 127890dw1 |
Quadratic twists by: -3 -7 |