Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520cz |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
-3.9314191478155E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 -3 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7965732,8705822056] |
[a1,a2,a3,a4,a6] |
j |
-74881286942075067136/526649727234375 |
j-invariant |
L |
4.0728272570371 |
L(r)(E,1)/r! |
Ω |
0.16970113850655 |
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 |
83520gk1 5220h1 27840bk1 |
Quadratic twists by: -4 8 -3 |