Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550l |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
191173500 = 22 · 33 · 53 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-357,2601] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-51:1] [-17:68:1] |
Generators of the group modulo torsion |
j |
1493271207/56644 |
j-invariant |
L |
7.0987418378236 |
L(r)(E,1)/r! |
Ω |
1.7783098653391 |
Real period |
R |
0.49898094084897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550cz2 53550df2 |
Quadratic twists by: -3 5 |