Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232ce |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
853429585231872 = 214 · 35 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-625489,-190608145] |
[a1,a2,a3,a4,a6] |
Generators |
[-457:72:1] |
Generators of the group modulo torsion |
j |
932410994128/29403 |
j-invariant |
L |
5.3852218387119 |
L(r)(E,1)/r! |
Ω |
0.16976392176092 |
Real period |
R |
1.5860913740836 |
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 |
23232dd2 1452c2 69696cj2 2112q2 |
Quadratic twists by: -4 8 -3 -11 |