Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50592b |
Isogeny class |
Conductor |
50592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11517977088 = 29 · 34 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-688,-4424] |
[a1,a2,a3,a4,a6] |
Generators |
[265:4284:1] |
Generators of the group modulo torsion |
j |
70444997000/22496049 |
j-invariant |
L |
5.954478110534 |
L(r)(E,1)/r! |
Ω |
0.95560253335304 |
Real period |
R |
3.1155621206073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50592e2 101184bb2 |
Quadratic twists by: -4 8 |