Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948bf |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
3852639567504 = 24 · 33 · 79 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4230,46521] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-1029:1] |
Generators of the group modulo torsion |
j |
12967168/5967 |
j-invariant |
L |
10.06000725837 |
L(r)(E,1)/r! |
Ω |
0.70269363787087 |
Real period |
R |
0.79535269602073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000228569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129948l1 |
Quadratic twists by: -7 |