Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38955m |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-3341019243555 = -1 · 37 · 5 · 78 · 53 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -2 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5406,-178279] |
[a1,a2,a3,a4,a6] |
j |
-148540174336/28398195 |
j-invariant |
L |
3.8574696616814 |
L(r)(E,1)/r! |
Ω |
0.27553354726407 |
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 |
116865be1 5565e1 |
Quadratic twists by: -3 -7 |