Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520ct |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
897801781248000 = 222 · 310 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50412,-4111184] |
[a1,a2,a3,a4,a6] |
j |
74140932601/4698000 |
j-invariant |
L |
3.8385659726252 |
L(r)(E,1)/r! |
Ω |
0.31988050320235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ge1 2610k1 27840bg1 |
Quadratic twists by: -4 8 -3 |