Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856bf |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-16212130642944 = -1 · 210 · 312 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9032916,10449369128] |
[a1,a2,a3,a4,a6] |
Generators |
[216905:279:125] |
Generators of the group modulo torsion |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
6.091052275994 |
L(r)(E,1)/r! |
Ω |
0.40534877534834 |
Real period |
R |
2.5044491091898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856bv2 1116f2 5952k2 |
Quadratic twists by: -4 8 -3 |