Atkin-Lehner |
2+ 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800y |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
355968 |
Modular degree for the optimal curve |
Δ |
32123239680000 = 211 · 3 · 54 · 73 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8408,114288] |
[a1,a2,a3,a4,a6] |
j |
51362186450/25096281 |
j-invariant |
L |
5.2590578646268 |
L(r)(E,1)/r! |
Ω |
0.58433969813896 |
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 |
121800bi1 |
Quadratic twists by: 5 |