Atkin-Lehner |
3- 5- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
22695h |
Isogeny class |
Conductor |
22695 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-12876575625 = -1 · 32 · 54 · 172 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 6 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-740,9417] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:133:1] |
Generators of the group modulo torsion |
j |
-44818317725761/12876575625 |
j-invariant |
L |
4.2379895539062 |
L(r)(E,1)/r! |
Ω |
1.1968788201339 |
Real period |
R |
0.44260846238302 |
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 |
68085h2 113475c2 |
Quadratic twists by: -3 5 |