Atkin-Lehner |
3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
35955h |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1192754762722265625 = 314 · 58 · 172 · 472 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267399,8524768] |
[a1,a2,a3,a4,a6] |
Generators |
[-4154:23497:8] |
Generators of the group modulo torsion |
j |
2900523802404344689/1636151937890625 |
j-invariant |
L |
7.7253128740151 |
L(r)(E,1)/r! |
Ω |
0.23590041383145 |
Real period |
R |
4.0935244392655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11985c2 |
Quadratic twists by: -3 |