Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52983l |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
159244800 |
Modular degree for the optimal curve |
Δ |
6.2592144821096E+30 |
Discriminant |
Eigenvalues |
-1 3- 3 7- 6 -6 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8250187451,-262112889525402] |
[a1,a2,a3,a4,a6] |
j |
170295687079857398473/17163597526568829 |
j-invariant |
L |
1.2436271384373 |
L(r)(E,1)/r! |
Ω |
0.015943937669403 |
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 |
17661c1 52983e1 |
Quadratic twists by: -3 29 |