Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34224bk |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.4043260437025E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205915384,1137247915220] |
[a1,a2,a3,a4,a6] |
j |
-235738300667365635295923577/34285303801329408 |
j-invariant |
L |
2.2988469108952 |
L(r)(E,1)/r! |
Ω |
0.14367793193167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278b1 102672bi1 |
Quadratic twists by: -4 -3 |