Atkin-Lehner |
2- 3- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24534t |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
83200 |
Modular degree for the optimal curve |
Δ |
-60080825060352 = -1 · 210 · 316 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 3 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5152,-345981] |
[a1,a2,a3,a4,a6] |
j |
20749267623239/82415397888 |
j-invariant |
L |
6.3298022748373 |
L(r)(E,1)/r! |
Ω |
0.31649011374186 |
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 |
8178b1 |
Quadratic twists by: -3 |