Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23232c |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-112652705250607104 = -1 · 216 · 36 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65663,14770945] |
[a1,a2,a3,a4,a6] |
Generators |
[4303065:264689560:59319] |
Generators of the group modulo torsion |
j |
202612/729 |
j-invariant |
L |
5.9948322026926 |
L(r)(E,1)/r! |
Ω |
0.23655631539092 |
Real period |
R |
12.671046623266 |
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 |
23232di2 2904e2 69696bd2 23232d2 |
Quadratic twists by: -4 8 -3 -11 |