Atkin-Lehner |
3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49725x |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
289291348125 = 36 · 54 · 133 · 172 |
Discriminant |
Eigenvalues |
2 3- 5- -2 4 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1875,-17519] |
[a1,a2,a3,a4,a6] |
j |
1600000000/634933 |
j-invariant |
L |
4.5043666867141 |
L(r)(E,1)/r! |
Ω |
0.75072778125794 |
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 |
5525k1 49725k1 |
Quadratic twists by: -3 5 |