Atkin-Lehner |
2- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33712p |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-30930894848 = -1 · 221 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 7- 1 -2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-688,-11180] |
[a1,a2,a3,a4,a6] |
j |
-25672375/22016 |
j-invariant |
L |
1.7992669021601 |
L(r)(E,1)/r! |
Ω |
0.4498167255397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4214e1 33712q1 |
Quadratic twists by: -4 -7 |