Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440cm |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
6139929600 = 210 · 36 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,-9074] |
[a1,a2,a3,a4,a6] |
Generators |
[635:15984:1] |
Generators of the group modulo torsion |
j |
96550276/8225 |
j-invariant |
L |
7.6807107373768 |
L(r)(E,1)/r! |
Ω |
0.88459616302916 |
Real period |
R |
4.3413656133706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13160c1 |
Quadratic twists by: -3 |