Atkin-Lehner |
3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
867c |
Isogeny class |
Conductor |
867 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-28816853988771 = -1 · 35 · 179 |
Discriminant |
Eigenvalues |
2 3+ -3 2 -5 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-244012,-46313805] |
[a1,a2,a3,a4,a6] |
Generators |
[154840973142:2440282876849:222545016] |
Generators of the group modulo torsion |
j |
-13549359104/243 |
j-invariant |
L |
3.3192111932788 |
L(r)(E,1)/r! |
Ω |
0.10740293444166 |
Real period |
R |
15.452143884773 |
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 |
13872bm2 55488bo2 2601k2 21675r2 |
Quadratic twists by: -4 8 -3 5 |