Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550kv |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
30062613672000 = 26 · 33 · 53 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9458,235332] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:754:1] |
Generators of the group modulo torsion |
j |
6362477477/2044224 |
j-invariant |
L |
11.938725470836 |
L(r)(E,1)/r! |
Ω |
0.61082942533157 |
Real period |
R |
0.27145979656897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550cu1 13650cj1 |
Quadratic twists by: 5 -7 |