Atkin-Lehner |
2+ 3+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
55056d |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
-55000944 = -1 · 24 · 34 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 0 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-304,-1973] |
[a1,a2,a3,a4,a6] |
j |
-194828415232/3437559 |
j-invariant |
L |
2.2836916169372 |
L(r)(E,1)/r! |
Ω |
0.57092290423577 |
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 |
27528f1 |
Quadratic twists by: -4 |