Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136bm |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4143882903552 = 213 · 36 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4035,11842] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:238:1] |
Generators of the group modulo torsion |
j |
2433138625/1387778 |
j-invariant |
L |
4.9592229442322 |
L(r)(E,1)/r! |
Ω |
0.66911351797608 |
Real period |
R |
0.92645395941797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2142e2 68544ep2 1904e2 119952el2 |
Quadratic twists by: -4 8 -3 -7 |