Atkin-Lehner |
2+ 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920k |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-25584000000 = -1 · 210 · 3 · 56 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,200,7552] |
[a1,a2,a3,a4,a6] |
Generators |
[9:100:1] |
Generators of the group modulo torsion |
j |
859687196/24984375 |
j-invariant |
L |
7.3408866681512 |
L(r)(E,1)/r! |
Ω |
0.89707249742649 |
Real period |
R |
1.3638597764872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960u1 |
Quadratic twists by: -4 |