Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975f |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
172607095546875 = 38 · 57 · 114 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20438,921656] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:1393:1] |
Generators of the group modulo torsion |
j |
60425492474521/11046854115 |
j-invariant |
L |
2.9915552823318 |
L(r)(E,1)/r! |
Ω |
0.54386276414072 |
Real period |
R |
1.3751425357546 |
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 |
56925k4 3795k3 |
Quadratic twists by: -3 5 |