Atkin-Lehner |
2- 3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426by |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
5474304 |
Modular degree for the optimal curve |
Δ |
-1904972067560024064 = -1 · 211 · 315 · 76 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21716501,-38946907411] |
[a1,a2,a3,a4,a6] |
j |
-1553694834635707514719753/2613130408175616 |
j-invariant |
L |
4.6157893949588 |
L(r)(E,1)/r! |
Ω |
0.034968101467356 |
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 |
23142r1 |
Quadratic twists by: -3 |