Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960bt |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2570442411600 = 24 · 33 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4475,-87102] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:147:1] |
Generators of the group modulo torsion |
j |
5266130944/1365525 |
j-invariant |
L |
8.9531887120813 |
L(r)(E,1)/r! |
Ω |
0.59491155483136 |
Real period |
R |
0.62706721120678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280a1 |
Quadratic twists by: -7 |